As someone who holds great appreciation of the power of markets to vastly improve products and services, it pains me to say that I don't think it will be market forces alone that right the problems with K-12 education in America. While such educational markets will be necessary, I don't think they will be sufficient.
For example, I think there needs to be a better answer for what performance standards will be used and who gets to decide on them. Consider that some of the best funded preparatory schools now take classes that explicitly immerse them in aspects Critical Race Theory and Gender Ideology because being sympathetic to these ideas absolutely gives students a leg up when it comes to admissions to elite universities. If we turn the market loose on the school system at large, it's entirely possible that the market finds the most efficient ways of disseminating this mind poison rather finding the best ways to impart knowledge.
Education is not just broken because those in charge don't know how to do it effectively. There are also major problems with their (along with a large number of modern educators) conception of what it actually means to be educated.