People in the US are used to having a certain level of care and expectations. I've seen data which indicates that most people are happy with the quality of care, it's the cost they don't like. Hence, any changes will not compromise the quality of healthcare that people feel they should get. This means a one payer system, or a one encompassing government system will probably not get implemented.
The system will mostly likely turn into a two tiered or a multi-tiered system where the government provides some care for everyone (bottome tier), and most people buy insurance to get better health care and access to care. This may mean some doctors end up earning little, but even in England, which has a national healthcare system and a two tiered system, the doctors are not starving.
Also, I've noticed a trend in multiple states where those who enter the least paying fields---primary care in underserved areas---have their tuition waived. I think that's what we will see happen. As places face shortages of the lowest earning doctors, those positions will be offered in exhange for deb forgiveness.