I'm right eye dom., & right handed. I shoot with both eyes open, but still battle blinking. When I really focus I can keep them open, but it's not natural yet.
I can see a whole lot more with both eyes open, and my right eye seems to be much more dominant than my left as I can always seem to pick up the correct sight picture.
I too see the blurry second front sight, but it seems dimmer to me and I automatically ignore it as incorrect.