Did you start shooting left handed because you were left handed in other maters in life? May sound like a strange question, but, for instance, two of the greatest left handed golfers Phil Mickelson and Bob Charles are right handed. Jack Nicklaus is left eye dominant but shoots right handed (come to think of it he is a bow hunter, and I wonder what hand he is in that).

I guess it would be different for everyone, but most people who start archery are pretty weak in the archery muscles, whether it would be that big a deal for you, who already have a lot of archery strength to get back up to speed I will leave to others.

Optically it is often said that there is an advantage to shooting with both eyes open, that this improves the performance of the good eye. One cheat is to wear a set of glasses that has a frosted lense over the weak side eye (cellotape for instance). This lets you gather light in both eyes, but doesn't allow the non aiming eye to wrestle for control. Anyway, the point is often made that two eyes are better than one, and that if two eyes are open (baring the above) and the master eye isn't the aiming eye, then it may try to control the shot. On the other hand tons of people preffer to close the non-aiming eye, and if you can shoot with that eye clossed, it maters less whether the aiming eye is the dominant one or not. I really don't know how many points there are in the whole thing.

I think you want to go back to first principles. What are you after here? Have you reached a plateau, and you think this is the next step on the route to mastery, are you struggling opticaly? Would there be other advantages like stronger vision in one eye, or physical problems that might be mitigated. If, on the other hand, you are currently shooting as well as you need to, and are comfortable, why mess with the whole thing? As generaly good as the advice you are getting is, you shouldn't just follow advice that may not reaally suit your situation. Returning to golf, there is a big difference between a teacher who can spot "what you are doing wrong" (not the same as what appears in the books say) and a teacher who can actualy spot the thing that is stopping a student from reaching the next level. There are a lot of highly unorthodox but brilliant golf swings.