Well that depends on the crime, and a whole host of other factors including the fact that it is ciruclar logic.

We cant trust them because they re offend, but they re offend because of lack of opportunities created by society not trusting them....

It is certainly true for property crimes, drug crimes, and other such actions.

Violent crimes may be an exception to this, but then to the OP's point, if they are violent why are they out in the population to begin with?