I'm right handed and left eye dominant. With handguns, I usually close my right eye, sometimes just part way closed. Always use my dominant left eye for handgun sighting (whether using two hands or one). For rifle, both eyes open, right eye through the scope, left eye also on the game. Might sound screwed up, but has worked for me for twenty years.
Just recently considered getting into action shooting and I think I will need to adjust for both eyes fully open with a handgun. This could take some practice as I get some serious sight shift when using my right eye.
Any tips on training the non-dominant eye to become dominant? A friend of mine had laser surgery and he was then able to use both, no longer had one eye more dominant than the other? Sounds strange to me, is it possible?