"I feel like if we want to start addressing inequality in education, we have to start with private grade schools. In particular, I think that private high schools and grade schools should be stopped, and everyone should be forced to use the public system."

My three children are in public schools, although they all did KG and preschool in private schools. Since the government does not own our children, I don't think it has the right to compel our children to attend a certain school. Are you going to ban homeschooling too?