The supply of doctors is not constrained by the AMA. The actual constraint is funding for residency slots at teaching hospitals. Every year there are students who graduate from medical school with an MD but fail to get matched to a residency and thus can't practice medicine.
Most residency funding comes from the federal government. Complain to your Congresspeople, not the AMA.
Most residency funding comes from the federal government. Complain to your Congresspeople, not the AMA.