A great idea. That’s my thought as well: we need to start over at ground level, to get results in 15 or 20 years. My advice on your venture: Look into doing it as a charter school. In some states, charter schools can hire whoever they want, plus you get state funds to run it. If the school is free for students (as opposed to charging private school fees), you will get much broader participation. Also there are other schools already based on this model. Investigate them and see how you can improve upon them. And finally - go for it!!!!!!
A man in my state founded a very successful classical charter school. He was told he now has to use the new core curriculum standards or his charter will be revoked.