It's my belief that racist discriminatory policies have led to an "underclass" of people, who are primarily minorities, that are criminalized more often and deprived of services that would ultimately reduce crime. So yes, due to discrimination, the diversity of the US contributes to higher crime rates.

There was a study recently produced that showed that simply installing street lights in a neighborhood reduced crime dramatically, when you take into consideration that installation would be funded by local property taxes, and that majority minority neighborhoods have lower property values, partly due to post war discriminatory housing policy, it is clear that there is somewhat of a self fulfilling cycle here.