I'm an American living and Germany and sadly, my GP who is also a personal friend of mine, will be shutting down their practice at the end of the year because their small practice simply isn't financially sustainable. They will instead start treating the prison population, which apparently pays more / is more consistent.
So I can also imagine how doctors in your state would feel if suddenly their rates are dramatically capped by the state.
I'm not aware of any public health care systems where medical care services are as expensive as in the United States, but perhaps it's possible to maintain relatively similar doctor pay as currently exists AND provide socialized health care benefits. I really don't know enough about this topic and the financials of American (non-public) health insurance companies to comment accurately on whether that would be feasible.