Class war against public schools

Monbiot regrets it isn't happening:

"If only the government would justify the paranoia of the ruling classes. They believe, as they have always believed, that they are under unprecedented attack. All last week the rightwing papers rustled with the lamentations of the privileged, wailing about a new class war. If only."

The problem with this, surely, is that a 'class war' against public schools would leave the Green movement in Britain slightly bereft of leadership, would it not?