You've quoted my post, and then said you disagree with lots of things which I didn't say.
You say "We dont currently receive reduced tax rates because we dont use particular public services"
But I didn't use that as an argument 
My argument is purely pragmatic, around how people will change their behaviour. They currently don't use that service, and so the government doesn't incur that cost. If they choose not to use private school, then the government will incur the cost.
You recognise my argument about the washing machine only makes economic sense if the overall gains in VAT on private schools are ofset by the increased expenditure on children moving sector and other knock on impacts
But they will be offset by those expenditures and knock on impacts. How could you imagine that they won't be? Even if the net gain isn't zero or indeed negative, do you really think it's an effective way to raise that money?
Don't lose sight that the point of taxes is to raise money! So whatever your viewpoint is on who should pay how much tax: do you think this is the most effective way to get the maximum money out of them? It is surely absolutely self-evidently obvious that it isn't efficient - simply from the significant extra state education costs incurred.
I'm not too sure why I keep getting drawn into these discussions either. It's just so obviously harmful to everyone in the UK - and in a way that won't be reversible - that I can't help shouting 'we're about to crash!' Shouting into the wind, I know.