That's big of you.
Yes, I do. If we abolish public education, large numbers of children will not be educated. It's an unfortunate fact that a significant fraction of parents would not cater to this basic need if they were forced to pay for it out of pocket. And their kids, not they, would suffer. While I tend toward libertarianism in most things, I don't think society has progressed to the point where we can totally privatize K-12.
Considering that the very notion of "K-12" is a modern invention: I would ask why you think it is "progress" for society to "advance" to the notion that a Government Bureaucrat is, on balance, a superior arbiter of a child's educational needs than his own parents -- and that the same Government Bureaucrat should be supported, by coerced tax-dollars, in his one-size-fits-all determinations, generally taken in excessive proportion from the most productive members of society (who are therefore the best-equipped, intellectually and financially, to provide their own children with superior Free-Market tutors)?
Humph.