If you're an American, you're in no position to judge our crappy bureaucratic system. But I know for sure since I experienced many times I have no issues to get a healthcare whenever I needed it. And that include dentist. If I get sick right now presumably from some unknown drugs you're assuming, I wont be scared that enormous bill will wait for me after they take care of me.
I wont say it's free because our employers pay for it from our paychecks.