That's a bit of a reactionary attitude, and frankly, one that is ultimately pro-authoritarianism. Police are a bureaucracy, like any other, and when you try to put a monolithic bureaucracy across not just a city, but entire self-contained institutions, you either have to have hired the most flexible, nuanced police officers ever, or you have police officers applying mentality appropriate for one beat and entirely inappropriate or excessive for another. This is why we have city police and not just county sheriff departments. This is why we have county sheriffs and not just state police. This is why we have state police and not just the FBI running everything.

If you believe that the same police that deals with city and urban issues would also be as effective in dealing with the same environment of a (usually cloistered) university, then you have way too much faith in bureaucracies.