To the extent that you want to whip people into an anti-immigrant fervor, it’s a good idea. There are millions of foreign-born people in the United States, and naturally every day some of them are caught committing crimes. Indeed, because immigrants are younger on average than native-born Americans, they commit a somewhat disproportionate share of crime.
Indeed, the great trajectory of immigration and crime is that second-generation youth — kids whose parents were born abroad — largely assimilate to US behavior norms rather than maintaining the better behavior of their foreign-born parents.
This is exactly what economics would predict. What attracts immigrants to America is our culture’s and our constitution’s emphasis on individual freedom. This attracts some folks directly, who want an environment in which they can pursue their individual vision of the good. It attracts many more indirectly, as a result of the vibrant and flexible labor market those values produce.