No UK politician would openly say that they wanted to privatise the NHS. But what they are doing is solidly along the lines of the US modal. That is, to turn the rump of the NHS into a Medicaid/Medicare provider with the bulk of healthcare borne by private insurance.

I may be wrong of course - what is your interpretation of what is happening with the NHS? Perhaps you think it's being run well, and that tax payers need not fear the threat of having to buy private health insurance or rely on employer support?