I'm right handed and left eye dominant. When I shoot right handed I use my non-dominant right eye. When I shoot left handed I use my dominant left eye. The thought of using my dominant left eye to shoot right handed has always seemed absurd to me. That said, I do a lot of dry firing with revolvers with each hand and keeping the hands and fingers conditioned (especially the non-dominant hand) and learning to acquire the target with the respective eye is more important than anything else.