The crazy anti-gays can send their kids to whatever church or madrasa or whatever.
The disruptive kids can go wherever.
The smart kids can go wherever.
Would sure hate to be a gay kid. At least with public education in that case, there's a small hope of exposure to the greater world.
I say this as a teacher in a private school. I'm well aware that my job is educator "easy mode" in many ways.
Perhaps partial vouchers -- you get 30%-50% of what the state spends on an average student-- could help to expand choice and diversity in education while keeping a system of universal education intact. But 100% vouchers are a recipe for disaster IMO.
Then Billions wasted on "reducing the differences" will show that people want and choose to be different.
Then various narratives will die in the cemetery of good intentions...