I'm left eye dominante, and used to shoot long guns righty, but pistols lefty. It was a little uncomfortable, but I did alright and the guns are cheaper. I taught myself to shoot lefty with long guns and I do much better in all positions (standing, kneeling, prone) and I am much more comfortable. Just take a day at the range and try shooting lefty all day and see how you do. After time it will come natural. I can still shoot right, but not near as accurate anymore.
Insert smart and whitty comment here.