That's not entirely true; doctors have massive political and financial power. The AMA is run by doctors and has consistently lobbied against government funded healthcare for more than a century. They killed FDR's and Truman's proposals and lobbied hard against Medicare and Medicaid in the 1970s.
Docs have power over their own turf (losing ground to admin every day that passes). They incidentally absolutely do not have power over the billing scheme in it's entirety, especially since healthcare juggernauts like Kaiser have appeared. Today, docs are really a small part of the problem but people stay fixated on them both because of envy and because docs are used as strawmen by big healthcare, whose stakeholders have every reason to reduce docs into slavery. Docs use the AMA to avoid being converted into Amazon warehouse workers? Big surprise.
