Wrong! Immigrants are less likely to commit crimes - it's a widely documented phenomenon. Here are a few examples:

The Mythical Connection Between Immigrants and Crime: Newcomers to the U.S. are less likely than the native population to commit violent crimes or be incarcerated.

Incarceration rate for foreign born: 0.86%, i.e. about a quarter of that for the US born. (non-Hispanic whites 0.57%, non-Hispanic blacks 2.47%, Hispanics ranges from 0.2% to 2.2% based on country of origin, if we exclude Puerto Ricans, who are US citizens, Asians ranges from 0.1% to 0.9%). Note the interesting fact that all foreign born ethnicities, including blacks, have lower crime rates than the average for US natives.

A majority of studies in the U.S. have found lower crime rates among immigrants than among non-immigrants, and that higher concentrations of immigrants are associated with lower crime rates