Well, I was in a similar situation as you. I played a varsity sport in undergrad and I am currently in Med School. I can tell you that during your interviews you will get a lot of "wow, that must have been a lot of time for practice / games / travel" (as well as they should, because most of the time it was over 40 hours a week). But, I don't think it really made the biggest difference in my application. Sure it was great that I did it, and they were impressed, but you need to stats to back it up.
Also, surprisingly, it isn't as unique as you think it is. I ran into countless people during my interviews that were all varsity athletes. So, moral of the story, there have been many people like you that are in med school now. Just don't think it is going to get you into school alone.