I have the same problem, even if I can see from both eyes, I am astygmatic (
http://en.wikipedia.org/wiki/Astygmatism) and I have developed the tendency of using a preferred eye. This condition is very, very common, it has absolutely no impact on everyday's life, but for the ability to see artificially generated stereoscopic images. People like me see the world in 3D because our brain is reconstructing the image. Remember that vision happens in the brain. But we cannot reconstruct something that does NOT exist and it is just an optical illusion.
So, my 2 cents here. If ever Apple will try this on the market it will be a huge flop.