One bill, sponsored by U.S. Rep. Sue Myrick, a Charlotte Republican, calls for $10,000 in fines against employers who knowingly hire illegal workers.
Today the maximum fine is $250 per worker.
"Our immigration system is broken," Myrick said. "We need to know who's inside our country. Our main concern here is terrorism; there are a lot of people who don't like us and want to hurt us."
Today, potential terrorists can assume a Hispanic name and slip with ease across the country's southern border, she said.
But even if the federal government decides to crack down, it would need to find the resources to stop the flow.
In North Carolina, not a single business has been fined for hiring illegal immigrants since 1999. That's in spite of Section 274A of the Immigration and Nationality Act, the federal law that prohibits employers from knowingly hiring illegal immigrants.
Tom O'Connell, who runs the U.S. Immigration and Customs Enforcement center in Cary, said enforcement of the law is difficult, given his limited staffing. It's more important, he said, to concentrate on finding and deporting immigrant felons and workers in sensitive workplaces such as nuclear plants or defense facilities.
"I can't arrest every truck full of painters going to some job in Apex," he said. "We don't have the resources."
So they keep coming -- some on tourist visas that expire, others by car or by foot across the country's southern border. Some are professionals, but the vast majority are people who come to the United States hoping to escape poverty and to build a better life.