Is racial profiling justified if a certain group is more likely to commit a particular crime?

I’m watching Al Sharpton on Larry King talking about how the new Arizona immigration law is racial profiling. To be honest the racial profiling part doesn’t bother me that much. I am against the law because I don’t think the local police should have the responsibility of finding and dealing with illegal immigrants. But, even if the law falls apart, there will still be the issue of racial profiling even if INS/ICE is enforcing the law, won’t there?

Of course this topic also comes up regarding Muslims, blacks, and others.