It's not incoherent or hypocritical to think that society could give every child a decent education if it wanted to...No, but it is incoherent to criticise Corbyn for not abolishing private schools when you sent your kids there AND you say people should be left to make their own choices. If they are abolished they can't make that choice.
And if there are no private schools then all go to state schools. You recently said most state school teachers were poor, so by your own logic, most kids would have to have poor teachers. And since you say taxes should be slashed, the government would have less to spend on such public services.
So yeh, incoherent and hypocritical