There are more slots than AMGs. What happens is when you put USMDs, USDOs, IMGs, and FMGs all in the pool, there aren't enough slots and some of the AMGs are edged out by the others. What specialty were you going for?
Look up the new legislation in Missouri and Arkansas. It hasn't started yet, but it looks like unmatched MDs will be able to practice as midlevels in those states at some point in the future.
Frankly, I think the word "entitle" has become as cliche, meaningless, and antagonistic as the word "professionalism" in medical circles. No one is entitled to become a doctor, just like no one is entitled to become a garbage man. That doesn't mean that people who spend a fortune in tuition don't have every right to bitch, vent, complain, and scream up a storm when they meet all the requirements of an MD degree and earn said degree, yet can't get licensed because there aren't enough residency slots for everyone who graduates. It's not entitlement. It's profound disappointment at a system that puts you through the ringer, then tells you after four years of basic and clinical science that the only thing you're qualified for is working at McDonald's while PAs and NPs, with half your education get to practice independently WITHOUT residency.