It is difficult to compare Miami to any other football program because it is one of the very few private schools out there that has the resources to compete nationally against the big public universities. Auburn is another and they, too, have certainly had their share of problems.
While I do believe that the NCAA applies at least similar criteria to letting them into school, the reality is that the private schools seem to have a little more leeway in dealing with the troublesome ones once they are there.
Miami does still have that "gangsta" image. In fact, in my opinion as a native Floridian, the university to some degree promotes that image when it comes to their athletics program. The really interesting thing about that school is the fan base. Didn't exactly see them protest when some members of the team made that rap video a few years back.
Have you ever been to the Orange Bowl for a Miami football game? I'd wager that less than a third of the fans wearing Miami stuff actually ever went to school there. There is still, to this day, a commuter school and very local flavor to the place. Most of the kids wearing Miami stuff down there don't even know where the campus is !!!