I've heard that having parents as docs could hurt, but I think this is BS. Both mine are and in interviews when it comes up, as long as you dont say something dumb like "they really pressured me" things along that line. If the subject comes up, just be able to tell them how you came to choose medicine on your own, independent of their influence or how their influence simply aided you. You just want to distinguish yourself as independent, not a pawn of your parents. Although in some intvws i just mentioned what kind of docs they were and what my bro does, and they just moved on.
When the subject came up, i told em if I learned anything about med. from them it was probably lots of the downsides that come during family life, and just the stressors of the job, So i'm going into the application process more aware of what i'm getting into.
I think you should be fine, dont let this bother you.