The problem is that you've wholly bought the utter rubbish talked by the right. In fact, the cost per head of healthcare delivery in the UK is orders of magnitude lower than the cost of healthcare in the US, both before and after the half-arsed attempt at humanitarianism that Obama introduced. The reason that the NHS is so starved for cash is precisely a result of the fact it is far cheaper than any privately-funded healthcare system that has ever existed. The fact that successive governments have repeatedly failed to increase state investment is a problem, yes, but the evidence from the US and other locales rather suggests that private healthcare systems invest even less in real terms. The rise in costs in the NHS has been due the sale into the private sector of many small sections of the NHS, leading to, for example, poorly paid, poorly trained cleaning staff employed by the private sector turning off life support system in order to plug in their cleaning equipment (that really happened), decline in cleanliness leading to a rise in infections in hospitals and increasing deaths... And we can compare before and after, and the results of that comparison are that although costs have gone up, deaths from preventable causes have also gone up, all attributable directly the sale of parts of the NHS into the private sector. As each bit is privatised, problems that were non-existent prior to privatisation have been observed.
I appreciate that you grew up Romania under an abhorrent regime, but you have to understand that that regimes was as far from western social democracy as Stalin was from Marx... Well, further, actually... So although the extreme version of socialism under which you grew up was an utter failure, it is increasingly becoming clear that the extreme version of neo-liberalism under which the UK (sick man of Europe) and the US (once global leader now falling from its position) has failed just a truly.

The problem is extremism, of whatever kind. So asking for state provision of basic human rights is perfectly reasonable, rational, and in all of our interests. Asking for the state to run everything is unreasonable. So is asking it to run nothing - if it runs nothing, then what is it for?

As a final point - as one of the leading textbooks preaching neo-classical economics admits, the labour market can only work on a neo-classical model if "some benevolent dictator redistributes all finance at the end of each working day." Hardly sounds like a functional system to me, does it to you? :)