Everything I do in life I do as a right hander. I am not cross eye dominant but so far as I can tell trying all the simple dominance tests I have ever seen I simply do not have a strong dominant eye, they seem to be for the most part about equal. This does make it a bit difficult to shoot with both eyes open as I am never quite sure which eye is going to take over at any given time.

Even in my younger days when I still had excellent eyesight I was never good with open sights on a rifle, I could do well with a proper peep, just couldn't manage those open ones. Now I use a scope exclusively for rifle shooting.

Miller/TN
I Didn't Say Everything I Said, Yogi Berra