People would pay HALF what they pay if there was competition.
There are people who don't pay school taxes, and not much income tax. They would not be able to provide any form of education for their children if all schooling was accomplished through private schools. Public schools were actually established with those people in mind. Ponder for a moment and think of the Dark Ages, Medieval Europe, or most any period up to modern times. The only people to receive an education were nobles or the otherwise wealthy. Are you advocating for a return to that situation?
How about we just fix what the liberals screwed up?