I like what you are proposing. I'll bring up another related problem though. Medical schools and medical liscensing. Medical schools have been artificially limited - to raise the pricing power of doctors. Related, I am told that a local school offering practice opportunities for specialty doctors is changing the rules to prevent Osteopathic doctors from getting the needed experience to be liscensed.
Again a new doctor has to pass a liscensing exam so difficult that most doctors take a year after medical school to study specificually for the test. A doctor one or more years after beginning practice is not able to pass the test (all are grandfathered after once passing). First of all, if the training is so bad, they need to change the training. Secondly, immigrant doctors have a priority on the immigration list - but find it impossible to pass this test. Result, insufficient doctors to actually treat all that have needs.
So add this to your proposal. Racketeering charges for anyone limiting medical training and removing any testing not required of all doctors not more than every 5 years.