> Private schools are all operated for profit, not for education

Get out more guy. Many many small schools do NOT make a profit at all. Many are in operation because the operators are really into education and making lives better for our kids. My kid is in a private school that takes tuition funds and we constantly need to fund raise. Us parents get together to help with building maintenance. Painting, scrapping, pluming, building wheelchair ramps etc. Not sure what places you are thinking of but most private schools in Vermont are not raking in the dough and paying huge salaries. That high pay is for the bloated admin in all the districts around the state.

Also if you have noticed religious schools often cost way less than public. For example the Christian school near us is about 5,000 a year compared to about 18,000. I don't think anyone is getting rich there but if they are on a quarter the cost well more power to em.