ban at all universities?

NO. Florida schools need to remember there are a very large percentage of University Alumni that are Greek and banning all Greek Life would be suicidal especially if Alumni are donors to their respected Universities and are heavily involved in University Alumni Associations. It's the the old philosophy in Business.....NEVER CUT OFF THE HAND THAT FEEDS YOU!!!

The hell are you talking about? 'They'?
If communists, Antifa and other vile remnants of society have the right to form student organizations then fraternities and sororities have the same rights of association.
Do you understand that FSU has an RSO chapter of the communist SDS? I know the liberals hate fraternities because they're traditional and usually Republican, but 'they' whoever 'they' are can never ban Greeks at public schools.