I was going to say, I wouldn't even try to overcome it. (Status post one BA, two MSes, a PhD, an MD, a residency, a financial planning certificate, and half of a fellowship - basically I am a professional student who occasionally works in between training programs. 😉 )
In all seriousness, this is part of being a nontrad. People who expect a traditional path in medicine of applicants will not be gung ho about your candidacy if you've gone off the beaten path. There will always be a few naysayers in every crowd; that's why you generally don't only apply to a single medical school. In addition, my experience has been that the most important thing to those who evaluate people for various work positions (including medical school adcoms) is your track record in the past. Meaning, if you're going to spend an extraordinary amount of time in school, make sure you excel there. If you're going to have a job or career in some nonmedical field, make sure you excel at that. It's the track record of excellence at whatever you've already done that ultimately makes people confident that you will have the ability and the work ethic to excel at medicine too.
