that's funny...i'm the EXACT same way. I thought i was the only one.

I shoot left and am left eye dominant, but learned to shoot a right handed bow with my left hand. my pistols i hold in my right hand across my body to line up with my left eye.

i now shoot a left handed Pearson, but with only my left eye. I'd just use the one eye...you could by a camo patch for your right eye!