The biggest issue here is that the government has effectively fixed the price to become a doctor at $200,000 (via stupid requirements) which in turn, fixes the price they must charge patients in order to be profitable. This is in addition to all the unnecessary requirements artificially restricting the supply.
Consider Cuba. In 2016, they were spending $813/yr per person while the US was spending $9,403 per person. Despite this, life expectancy was/is about equal. They graduate loads more doctors than the US. Most of these doctor's don't specialize, but instead become primary care physicians. When there are a lot of them, the cost to visit your doctor for day-to-day complaints decreases and disease is caught and treated much earlier (an ounce of prevention).
Degree inflation is a real killer here. A doctor must have a Batchelor's because it was decided that nurses should have one (though everything past the first 2 years makes basically zero difference on the floor). Then there's a huge middle area, so we train nurses to be not-quite doctors in an attempt to deal with the problem, but the schooling requirements for everyone just keep soaring.
Eliminate the Batchelor's requirement and instead require only the classes that are actually pre-requisites for med school. These are more than sufficient to weed out all the really unqualified individuals, but would reduce the cost of schooling by many tens of thousands (allowing lower charges to patients) and reduce the time-to-market by 3-4 years.
That time to market is extremely important. That's an extra 3-4 years of work before retirement. That's also an extra 3-4 years of experience (experience often being the most important thing) and those years are shifted earlier to when learning is easier. For more dexterous (eg, surgical) professions with long residencies, that 3-4 years is a huge amount of the useful lifespan.
Finally, open a few more medical schools to allow more doctors to be trained. With lower costs and faster time to market, costs for all medical visits (but especially primary care).
The only potential concern here is "unqualified people", but none of the tests have changed. Med school hasn't gotten easier either. The big change is more people are able or willing to give it a try and the risk is much lower.