Treating public school as public space with public rules creates a huge class divide with the private schools. Short of actively shooting up the place, I can't think of a single rule you could break at the private university I went to that could result in law enforcement getting involved. I knew of at least one kid who got caught with most of a kilogram of cocaine, who got off with little more than a slap on the wrist.

In contrast, a kid at my brother's public uni got arrested for petty vandalism. It's an extremely stark class divide.