[23iofj]

I assume you're not living in the USA, because private primary/secondary schools exist in the USA. They're actually quite common here and provide a lot of diversity in terms of style/rigor/selectivity/etc. In NYC alone there are almost 1,000 private schools. People do have plenty of choice, as long as they're able to pay.

(I doubt redirecting tax dollars would increase choice. Plus, we already have a hybrid public/private marketplace for education in our university system. That experiment is... not going too well, to the least.)