Right handed, right eyed, right foot and right brained (assuming it is functioning), I shoot both a bow and Gun right handed, but cross my left arm over my right when I cross my arms, same with my left thumb over right when I clasp my hands to pray for the wind to stop.
My wrist doctor had a weird sense of humor. He said "true ambidexterity means you can wipe your rear with either hand. Writing with both hands is easy try wiping your rear." Okay maybe over the line but he had a point.