i too am a south paw. However i trained myself to shot right handed. It is cheaper and elss complicated that way. Eye dominance does not really play a role. I used to shoot lefty by having new aftermarket safetys put on right handed guns, but when it came down to buying a new anshutz for competition i bought a right handed one and shot it right handed. I ended up going to the empire state games and comming in 3rd place in the scholastic prome position. The state games are new yorks mini olympics if you will. It just takes some time to get used to the different feeling, but now i do all my shooting right handed from bird hunting to bow hunting for deer. hope this helps
-bob