It's not an either-or situation. In the UK we have a socialised health care system with a private health care system available to those that want it. I guess it's a question of how much you care about the plight of people at the bottom of society and how much you see it as a sort of civic duty to increase their access to high quality health care regardless of their life outcomes (low income).

I'm lucky that I don't rely on our national health service for everything but I still gladly pay towards it's running so others can use it. Of all the things the government taxes me for directly or indirectly payments towards the national health care service ranks very low on the list of annoyances.