A string of terrorist attacks carried out by naturalized U.S. citizens is prompting a handful of Republicans to push for a sweeping crackdown not just on illegal immigration but on legal immigration and citizenship policies as well.

Conservatives have honed in on three recent terrorist attacks, two of which occurred on Thursday, arguing there should be stricter enforcement of deportation laws and an end to several immigration programs, even if it means those being deported are U.S. citizens.