Lol, I'm left handed as well, I've never noticed this with right handed people. Maybe I just wasn't paying attention.
I eat with fork and spoon in the left hand, shoot guns and hold the bow with my right, use mouse with right hand, play guitar standard, which is why I absolutely suck with a pick but advanced with fretwork pretty fast... don't play anymore, though :(. I also kick a football with my left leg, but shoot basketball with right hand, lol. Also, my handwriting is disgusting most of the time.
Right hand and leg are noticeably stronger, and my right eye is dominant for some reason.