Generally speaking, the issue of education has always bothered me as an anarcho-capitalist. It's an ideological black hole for me. I don't think the state is doing a good job with education (or with anything else, for that matter), but what will happen if every parent had completely free reign in educating their children? Seeing as most parents are irrational, religious and uneducated, it could be even worse...
The Diamond Age has the best guess at how this could be done (and if we aim for it, how it will be done), which is through phyles. People will organize themselves into culturally similar groups, and as groups, families and all, will compete against other groups. This also means making sure their children are the best educated, so that they can outperform their competitors, in both skills and status.
This would mean that the Great Spagetti followers would divide into those who worshiped meatballs, those who worshiped red versus white sauce, and many fractions and divisions would occur in the faithful, including the gluten free spaggetti cult.
I for one, being a true atheist, would be watching this from afar. They may wrap their noodles around my neck and try to hang me from the nearest tree, but my cheese powder is strong and my crushed peppers rule. I will spear them with my fork and steely knives, their noodles being split asunder and their meatballs drawn and quartered.
With no mercy shall I attack the onslaught of the minions of noodledom, leaving naught one sliced mushroom left to see another sunrise.