I will forward this to my wife, the teacher, for her thoughts.
I know she is not against private schools, though would prefer we don’t send our kids to one. She really believes in the public school system and every kid’s right to a free *cough* education. But it isn’t because she is an ardent union member, only interested in padding her pension. She readily admits her union has just as many disadvantages as it has advantages, and she has to accept one if she accepts the other. She is one of those ‘it takes a village’ types who think ‘we are all in this together.’ While I argue I’d take a pair of concerned, proactive parents over a village any day.
Also, if we are advocating the abolishment of all public schools, I am not sure the demand in some areas would be the same as it is for groceries. In line with Barto's comment, people are content with the mini-mart to get their Doritos, and the stores will oblige. But what is going to ensure these privately operated schools are going to be cost-effective for everyone? Those pesky 'market forces?'