That's pretty close to how I do things and I've tended to view the dichotomy similarly. To add to the comment, when batting I'm more comfortable right handed and when kicking I prefer my right foot. I've also grown accustomed to using scissors and mice right handed out of necessity (though one might also argue that scissors frequently involve power). What's odd to me is that I often don't know which hand I'm going to prefer for a task until I try it.

Reading this thread, it's interesting to see that this may actually reasonably common. I don't think I've met anyone else who works this way before, and I realize that this sub-thread is rather self-selecting. Still, it's an existence proof that there's more than one of us.