You can just look at UK and you can see that things can be done better. Or Canada...
But since no one wants either, the pressure usually ends up on doctors. If there is an exodus from the public sector, instead of a slow downgrade, then it will collapse.
edit: the original point is that the US should have a system like the UK - but is the NHS even sustainable?
The problem of rising healthcare costs is a real one, not an artefact of a particular system, and there is no easy fix for it.