EL PASO, Texas—President Barack Obama on Tuesday tried a new tack on immigration, saying that beefed-up security along the U.S.-Mexico border has proved effective enough that it should draw Republican support for an overhaul of the nation’s naturalization system.

Mr. Obama said his administration had met the concerns of Republicans by increasing law-enforcement manpower to record levels and installing new surveillance technology and fencing.

“We have strengthened border security beyond what many believed was possible,” he said at the Chamizal National Memorial, as a giant Mexican flag waved across the Rio Grande river.

The president cited several statistics to back up his assertion of tightened borders, including a nearly 40% decrease in arrests at the border, to about 463,000 in 2010. The administration says that is a sign that fewer people are attempting to illegally cross from Mexico.

Mr. Obama didn’t mention that deportations hit record levels last year—a trend that has drawn fire from some Hispanic advocates.

The speech was aimed in part at reassuring voters who are worried about border security, and in part at renewing support among Hispanic voters he needs to boost his re-election campaign, particularly in Rocky Mountain states.

He offered no new policy proposals Tuesday, and set no timetable for legislation. Instead, he called for those who support his proposals to build pressure for congressional action from outside Washington.

The president said the new border-control measures will prevent another wave of illegal immigrants from flowing into the country if those already here are allowed to stay.

Some prominent unions including the AFL-CIO have opposed immigration legislation in the past, concerned that new arrivals would pose competition for their members. Senators trying to craft an overhaul have said one of the obstacles has been coming up with a guest-worker program unions and business can support.

Mr. Obama’s legislative goals haven’t changed since he spoke on immigration last summer, including a path to citizenship for the 10.8 million people already in the U.S. illegally, a program many Republicans oppose as a reward for lawbreaking. Mr. Obama also supports a guest-worker program and making it easier for foreign students educated in the U.S. to stay.

There is virtually no GOP support in Congress for the legislation Mr. Obama wants, though some Republicans have embraced these ideas in the past.

Mr. Obama predicted that no matter what he does, some Republican foes of his approach will demand more. “Maybe they’ll need a moat,” he said. “Maybe they’ll want alligators in the moat.”

Arizona Republican Sens. John McCain and Jon Kyl have crafted a $4 billion, 10-point plan that calls for double fencing where there is now single fencing and another 5,000 Border Patrol agents, on top of the 20,700 now in place.

“We hear from our constituents on a daily basis, and, while some progress has been made in some areas, they do not believe the border is secure,” Messrs. McCain and Kyl said in a statement Tuesday.

They also pointed to a Government Accountability Office report that found the U.S. has “operational control” of 44% of the Southwest border with Mexico, meaning it has the ability to detect, respond and interdict illegal activity.The administration says that isn’t a good measure and officials are working on a better one.

Republicans face pressure within their party to keep the focus on tougher immigration enforcement. But some GOP leaders say the party also needs to improve its standing with Hispanics, the fastest-growing voter group in the U.S.

But the president faces skepticism even from supporters heading into this latest push.

“The moment to use pressure is gone. You missed it. The train left the station,” said Rep. Luis Gutierrez (D., Ill.). “I want to be honest with my constituents and with the American people. I don’t want to rev them up for something that doesn’t have any possibilities of success.”

President Obama today called for a “practical, common sense” immigration system that will help the U.S. economy and maintain America’s immigrant tradition — and he put the pressure on Republicans to get it through Congress.

“Reform that brings accountability to our immigration system cannot pass without Republican votes,” Obama said in his first major immigration speech as president . “That is the political and mathematical reality.”

Obama said his administration has already taken record-setting actions to strengthen the border, and he urged Congress to approve “a pathway to legal status” for the 11 million or so illegal immigrants who are already in the United States.

Immigration has become “a source of fresh contention” in recent days because of the new Arizona law that gives police greater authority to question people’s citizenship, Obama said. His administration is expected to file a lawsuit against Arizona, but the president did not discuss potential legal action.

Senate Minority Leader Mitch McConnell, R-Ky., said the first step on the immigration issue should be “to secure the borders,” and that Obama’s pathway to citizenship amounts to “amnesty” for lawbreakers.

“The President can make progress on this issue, but it will take more than a speech,” the top Senate Republican said. “If he would take amnesty off the table and make a real commitment to border and interior security, he will find strong bipartisan support.”

Speaking to lawmakers, academics, and community leaders gathered at American University, Obama touted his plan by stressing the immeasurable contributions that immigrants have made to the United States, and the frequent discrimination they faced throughout history. “Immigrants have always helped to build and defend this country,” Obama said.

The chances for congressional passage don’t appear great. Like McConnell, congressional Republicans and some Democrats said the government should focus on better law enforcement better moving on to citizenship issues or guest worker programs. In the meantime, lawmakers who are already grappling with new Wall Street regulations and an energy bill must also deal with congressional elections only four months from tomorrow.

Obama said political posturing on an emotional issue has delayed congressional action in years and month past. “Into this breach,” he said, “states like Arizona have decided to take matters into their own hands.”

Arizona’s crackdown is understandable but “ill-conceived,” Obama said, arguing that an immigration system requires a national approach rather than a “patchwork” of state laws that puts too much of a burden on local law enforcement.

“These laws also have the potential of violating the rights of innocent American citizens and legal residents,” Obama said, “making them subject to possible stops or questioning because of what they look like or how they sound.”

McConnell, the Senate GOP leader, criticized Obama for his stand on the Arizona law, saying that “attacks on states filling the breach created by the failure of the federal government won’t secure the border, grow jobs or create solutions for what we all agree is a broken immigration system.”

At points in his speech, Obama criticized both sides of the immigration debate.

Some rights groups all but encourage illegal immigration, Obama said, though at least 11 million people are in fact breaking the law by not going through the citizenship process, and they should be held accountable.

As for critics of “amnesty,” Obama said it’s simply impossible to deport 11 million people. Doing so would disrupt communities and break up families, he added, as many undocumented immigrants have children who are U.S. citizens because they were born here.

The president said he has already taken major steps to better protect the border, proclaiming — twice — that “we have more boots on the ground near the southwest border than at any time in our history.”

As for his pathway to citizenship plan, Obama said it will help create “a younger workforce and a faster growing economy than many of our competitors,” Obama said. “And in an increasingly interconnected world, the diversity of our country is a powerful advantage in global competition.”

Organized crime is preying on illegal immigrants’ American dreams.  “Gangs own the people-smuggling trade” and are kidnapping illegals and then holding them hostage for ransom of as much as $5000.  The phenomenon is particularly acute in the Phoenix, Arizona area.  How is this happening?  A variety of factors are at play, including:  the spike in abandoned property (where the hostages can be kept), tighter border security (which makes border crossings more difficult and encourages gangs to handle them), and the decline in immigration resulting from job losses in the US (which decreases gangs’ revenue made from border crossings, and invites them to hold hostages for ransom money).  Read the article for more information on this disturbing trend.