Balk or bad mechanics?

[SAump]

I have been saving this last bit of wisdom for those who incorrectly believe anything or everything is possible.

If a pitcher is ambidextrous, the umpire shall require the pitcher to face a batter as either a left-handed or a right-handed pitcher, but not both.

That, my friends, cuts down on about half of all the possibilities these other guys mention. Everything else in their bullpen has definitely been exaggerated for our viewing pleasure by at least another quarter.

Now I'll give it a rest to find the basis for my two simple BALK rulings. I would appreciate any and all information pointing me in the RIGHT direction.