That may not be such a bad idea, Patrick; the “keeping the kids out of the way to free up the parents for the factories” roots of public education are pretty much out of date now that society has returned to its usual malthusian state of “surplus population”.
Unless we move to a more openly neofeudal system — like, say Jerry Pournelle’s corporate clans — there will always be a mismatch between the number of capable adults available and the amount of work that needs doing. If we return to recognising child rearing as a positive end in itself for all adults, rather than as something to be offloaded as quickly as possible in order to free people up for (possibly non-existant) work, then I think we would have a healthier society. The problem is that the Protestant work ethic has been twisted from “work is better than idleness (unless you are rich)” to “if you are not making money for someone else, then you are a scrounger”. This is why, even whilst claiming to seek to reduce unemployment, governments are looking for more people to force into the labour market: parents as soon as their children can be sent to school (or preferably a profit making academy); those who expected to retire and are now being told that they may have to work till they drop… If the poor are to be expected to bless the CEO and his relations, then the rich have to remember noblesse obligé. With power comes responsibility, and to work otherwise is to invite disaster.
Also, the childcare and and rearing part of education is probably the source of most of the friction between schools and teachers. Given the drive to move from education to training, even going so far as so called universities scrapping their Philosophy departments, removing the childcare aspect has got to be helpful.