Beartail, Im right hand/left eye too and have found left handed shooting to feel very natural. However, I have also found a form of aiming to feel more natural than what most would consider pure, instinctive shooting.
That being said, Ive found that I can shoot my wife's right handed bow quite well and lack the ability to aim that way since my right side vision is so bad. So in your current situation, youre shooting about as "instinctively" as you can. Id go so far as to say that if I truly wanted to be a pure instinctive shooter, Id probably switch to right handed shooting.
As Sleek mentioned, your arrow spine will be different. If you shoot the arrows that are spined to your right handed bow out of a lefty the same weight and shelf cut depth, they will be too stiff and shoot to the right. Reason: your arrows have had to deflect more to match your dom. eyes trajectory to the point of impact.. Now youre putting the arrow roughly parallel to that line of sight and deflecting the shaft the other direction.
Bottom line, try it, but do what feels natural and gives you the results you desire.