Yes, you are being irrational. I'm sure this is outlined in the other threads, but here's the scoop. The number of med students doesn't dictate the number of doctors. The number of residency slots do. That number has been pretty stagnant for years, and is anticipated to remain so. Why? Because the money, by and large comes from taxpayers, and at the moment they are trying to figure out how to lower the amount of money healthcare costs, not raise it. So as more and more people go to med school, the more folks getting education offshore will lose out on residency slots, until there is 100% US grads getting all the residencies. After that, theoretically some people will get MDs but never be doctors, but we are many thousands of seats away from that issue.
Law, by contrast doesn't have the barriers to entry into the profession that medicine does, so every law student potentially becomes part of the problem. You do 3 years of law school, pass the bar, and you are in. There are many more law schools with many more seats, and they all crank out lots of people, most of whom will pass the bar eventually. There are no internships/residencies in law, so everything is privately funded -- you go to school and then you get a job if you can. There are no limited seats in law -- you get your JD and you are done and in the marketplace. In medicine an MD without training is pretty meaningless, and until you do your residency, you aren't in the marketplace.
So no, under the current structure, there will never be a glut of physicians. There may someday be a glut of DNPs and others who are calling themselves "doctor" but don't do any real residency. But that is a different issue altogether.