Notice how you had to put free in quotes? That's because TANSTAAFL. And, no. People with "more money than me" do not pay for all of the services I get "free", unless you consider "more money than me" only in the aggregate. You seem to forget that the poor pay taxes, too. (I don't know about in the UK, but in the US, even the income tax refund checks are taxed). Furthermore, I argue that a monopoly is not the most efficient, nor the best, way to provide those services. As such, prices for those services will be lower. If you consider Education to be unnecessary, then by all means, reduce your spending on it. Just don't try and reach into my pocket and tell me what to spend.
I put free in quotes for you, to avoid the obligatory "but it's not free someone else pays"-response that always follow otherwise. Didn't work though. Next time I'll be sure to explain everything. I know we all pay taxes, what I'm saying is that the poor get more out than they put in, and the rich less so. The rich however have the financial means to provide for himself in other ways. Choices the poor doesn't have.
I would argue that a monopoly absolutely can be the most efficient way to provide a service. I've seen examples of monopolies broken up that have been bad for the customers, and the other way around too. It's not as simple as you think it is. Have a look at the Nordic Power Market which used to be a monopoly, then deregulated, and prices went through the roof.
I don't consider education unnecessary at all, I'm just saying that poor people would have to make choices like that. People in the US today have to choose not to go to the doctor when they're sick. Virtually nobody in Europe does that. Care to guess why?
I seriously doubt that your ideology would help the poor more than the rich.