I agree. In my case, I'm left handed, but my right is dominent. I've tried practicing rightie, but I just can't get it. So after 40 years, I continue leftie and still cannot break 23 in a round. I recognize that 'disability' to assimilate the logic with practicality, I still have loads of fun every time I say "pull" and powder a clay bird. Such is life...
Well, I'm just the opposite of you (right handed and VERY left eye dominate) and couldn't change either.....until.....I had a medical problem on my right side and my doctor gave me the option of changing or giving up shooting (not an option at all). Within 3 months I was shooting better than I had ever shot before the switch and I've been shooting for more years than I want to admit to! To do so would reveal my real age...LOL I had the right motivation...LOL And since it was a "do or die" situation the mental conversion was really easy.
I even hunt left handed now and harvest far more ducks & geese than before...yum!