Why should everyone's taxes fund public schools, yet those with very large incomes (many of whom send their kids to private schools) be paying taxes for public schools and yet their own kids get no public funding, under your plan. It has never worked that way and never should. Ridiculous idea.
In fact, if parents were not sending their kids to private schools, the public sector would be absolutely incapable of providing places for them in their schools. High income earners pay school fees for their own kids and help educate public schools as well by their taxes.
