The NHS is a combo of hospitals, doctors, and insurance.

This combo (system as you like to call it, although that leaves out a ton of stuff) also exists in the US as a non-profit. I said this already.

It doesn't help

What will help is doctors taking a paycut and mass layoffs.

The problems in the US are not on the payment side, they are on the service side: it's simply too expensive.

We need twice as many doctors, working half as many hours, for half as much pay.

That's what would fix the US.