I believe when it comes to private property and private institutions then the owners can accept or deny people for whatever reason they like. Why do you think it's ok to force association within private settings? Can't you see how that creates animosity amongst whites for being forced to do things and a mind fuck amongst blacks due to their self worth and freedom being tied to the acceptance of white society?
If greater white society thinks this is wrong and want to send their kids to racially and culturally diverse schools then expect to see attendance drop. Otherwise id suggest you just respect peoples wishes and preferences less you increase racial conflict and division.