Most Americans want legal status for DREAMers. These are not among them.

For Joe Kleve, 21, a senior at St. Mary’s University of Minnesota in Winona, the argument that the young immigrants had been brought by their parents held no weight.

What if someone’s parents were caught sneaking their whole family into a movie without paying, he asked. “Are they going to just kick the parents out?”

For Mr. Pham, 39, the issue was personal. He, too, arrived in the United States as a toddler, as a legally admitted refugee from Vietnam. But until his family could find American sponsors, they were parked in a refugee camp overseas for more than a year.

“If we can do it the legal way, so can they,” said Mr. Pham, an information technology consultant. “We don’t have to be creating new programs or giving them preferential treatment.”