im a classic example. ive been shooting guns and bows since i was three. i was taught right handed, my dad and everyone assumed i was right handed cuz i did everything right handed. i didnt realize i was left eye dominant till i was 16! by that time i had won tournyments w/ bow, shotgun and moving rifle competitions all over new england. so why switch now!!! i can shoot a rifle and shot gun left handed pretty damn well come to find out but i still hunt and shoot righty. ive always shot w/ my left eye slighty closed or completely anyways and there isnt a very big diff in my two eyes either, that may be why i shoot well either or but look at it this way, if my left eye is closed, my right has to be the dominant onegood luck and keep shooting the way you are. as far as long ranges go i dunno the furthest i have ever tried a rifle shot was 300 yds and that was at a sand pit. never in the deer woods have i shot over 125yds. the results however werent any different then up close so ide say no matter what your oing, shoot the same way every time! dont buy into all the crap you read about this subject by so called "professionals" either, do what suits you. ive argued this pint w/ friends of mine and gone to the pit and had a little friendly shoot out and for someone who "shouldnt be able to shoot that way" i always kick their azzes!
a little food for thought, my grandfather was the same way and he was by far one of the best shots in the deer woods on runnin game ive ever heard about around here