Shoot with left eye . . . literally.
Used to drive my grandfather crazy that I'd pull up a .22 and rock my head across it to aim (right-handed).
Do the same with the camera now that I think about it.
As for 2-eyes vs 1-eye, only shoot with the right one open if I'm trying to track something.
just curious, do you still shoot like that? even though I'm right handed I've just gotten used to shooting left handed so my eye (and head and neck) doesn't have to be in a weird position. frankly, I've found the handed-ness of firearm operation not a big deal (it is annoying with the bolt on the wrong side, but I guess I don't shoot for speed so it's not been an issue)