Er, no? Assuming it's tax deductible most families can probably make some lifestyle changes to free up $10k. Sure it might inhibit other goals, like building up saving or consumer spending. But it's a sacrifice that many people can make if they have a strong incentive to do so (like if the local public school is crap). And this is ignoring any sort of subsidy or assistance.
> You also mention religious schools. Why should a person have to indoctrinated in a religion to receive a good education?
I mentioned them in context cheaper private school education. Not to mention, the fact that you immediately leapt from "religious school" to "indoctrination" indicates that you seem to be approaching this with your conclusions decided a priori and are looking to justify them rather than participate in good faith.