Well, let me ask you this: do YOU care where your doctor went to medical school? Do you look up your doctors to see where they went, what their grades were, and where they went to residency? My guess is probably not.
There are always going to be a few snobs who care whether their doctor went to Hopkins or some junk, but most people really don’t care. There are bad apples from great schools, and great doctors from mediocre schools. It’s the same as undergrad.
What matters is whether you pass your boards, and how well you do on them. Some schools may prepare you better than others for the boards, but you just have to research schools around you and learn about their reputations. Your board scores determine where you go for residency, and residency is really where you learn how to be a doctor. And just because a residency program doesn’t have a big name doesn’t mean it’s not excellent.
So when you’re applying to medical school, apply to schools that are reasonable for your grades/MCAT/etc. Don’t worry so much about the name. I thought about applying to a very prestigious medical school near me, but when I visited there, I hated it. My school is not as well known or as prestigious, but I know that I learned better there than I would have at the big name school.
We can’t all go to Harvard, but there are plenty of non-Ivy Leaguers out there who are amazing doctors.