Check and see which is your dominant eye. Sounds like you are shooting with your non-dominate. Switch sides and my bet is you will only see the one barrel.
A lot of reflex type Red Dots are used in Europe for running game and Birds. I used a Doctor sight very successfully over there for driven game and birds under 70 yards using a drilling If you can't get used to shooting with two eyes open, I would give it a try. Nothing to loose.
