Of course it is a private/state debate, Cortina!
What's your evidence on private school teachers being better? That's as much a generalisation as if I were to say they're worse, and tend to be lazy so-and-so's who want a quiet life teaching pampered over-privileged arseholes, and can't actually hack it in the state system!
Which is why I am not saying that 
Equally it is as much a generalisation to say that the majority who dislike the whole idea of private schools take up this position out of jealousy, or because they would send their kids there if they could, as it would be were I to state that most people who send their children to private schools do so because they don't want their little darlings mixing with anyone common.
Which is why I'm not saying that either.
I will say that I think you're talking out of your arse, though.