That is exactly what I mean by "over-heated rhetoric". That is not supported by crime statistics. You are echoing a Trump campaign applause line that has no basis in fact.
Here are the facts per the Anti-Defamation League (ADL.org):
Although, public figures (this means Trump) have claimed that immigrants are "killers" and "rapists", bringing crime to the U.S.. Study after study has shown, however, that immigrants - regardless of where they are from, what immigration status they hold, and how much education they have completed - are less likely than native-born citizens to commit crimes or to become incarcerated. According to the U.S. Chamber of Commerce, while the overall percentage of immigrants and the number of undocumented immigrants in the U.S. both increased sharply between 1990 and 2010, the violent crime rate in the U.S. during that time plummeted 45 percent and the property crime rate dropped by 42 percent. Studies have consistently found that immigrants are less likely to be incarcerated than native-born Americans and that there is a NEGATIVE correlation between levels of immigration and crime rates (meaning the percentages go down with the increase in total numbers). Other studies have in fact found that crime rates are lowest in states with the highest immigration growth rates, and that states with larger shares of undocumented immigrants tend to have lower crime rates than states with smaller shares.