Your right is our left, which is the most common way a RH shooter misses. If you are getting good groups, then it is an equipment problem, which you can get some opinions on over in PowWow. If you are not getting good groups, then it could be any of a number of form problems (and could also be equipment problems) which we can discuss here, and probably help you better if you post a video. But there's no point in getting into that until we know how you're shooting. So how are your groups?
BTW, I always shoot to the left with a Hill type bow, just because most of the time I'm shooting with a bow that's cut past center, and I would have to spend a long time shooting a Hill bow before my feeble mind made the adjustment.