Correction: It wouldn't feel awkward to you. Just because you're comfortable with something doesn't mean everyone will be as well.
If it doesn't feel awkward to move an analog stick one one side of the controller, it wouldn't be for another. It could possibly take a bit to get used to, but that's really how any new control scheme works. We adjusted to controlling a camera with the second analog stick, didn't we? Remember back in the days when controllers kept evolving and we had to get used to them? Ah, the good old days when no one cared about having to get used to controls.
I'm actually quite curious to this notion. What games have you played that used this system of right analog stick to attack? I have never once in my life heard of such a game, only emulators designed to, well, emulate the WM+ and they got their task done with varying success.
Ever heard of Metal Gear Solid 2 and Ape Escape on the PlayStation 2?