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As someone whose probably twice your age, I'll tell you two things.
1) you have to have your own mind at some point, and part of that will be breaking from what your parents suggest and going with what you think is best. If it isn't college, it'll be marriage- or raising children, or something. At some point, you'll make the transition.
2) HOW you make the transition will either make you look like a brat-idiot that they must always worry about- waiting for you to fail. Or, a man.
Make that transition as a mature adult. Suggesting "follow your own dream, f your parents" is a short term solution to a long term life. Have a conversation with your parents. Not about what you feel, but about medicine. Your parents are MDs for goodness sakes. How many of us here would love to have the personal advice of 2 MDs in our corner? Really, your parents want success for you. I'm not siding with them, I'm suggesting you talk to them professionally. Consider what they say as doctors, not Mom and Dad. Ask them to be reasonable, and you be reasonable too. Maybe you have not considered all points of view? Perhaps applying to both and then picking together? Maybe your parents REALLY want you to attend a certain school and it's not MD vs DO? I will also say this, if you take their money, then they should get to pick. You pay= you pick.
In 20 years when everyone is sitting at Thanksgiving dinner and you are there with your wife and 10 children, you'll want it to be loving- not hostile.