The real solution is separating church from education entirely.

Everyone gets public school, if you want to send them to an after hours system like CDC (what Catholics have) or something else in addition to normal school, then that shouldn’t be publicly funded in any way.

Absolutely.

Same goes with any private school.

Fully fund the public schools, and if someone wants their kids going to some elitist private school, that’s up to them to pay for themselves.