Your submission that an eye patch would cause the wearer to see in only 2 dimensions is false. I myself wear such an eye patch full time (here is a self portrait for illustration: http://www.petermichaud.com/about/ ).
I have not seen from 2 eyes since I was 7 years old, and I am perfectly capable of seeing in 3 dimensions. To prove my claim, I can also perform tasks traditionally associated exclusively with 3 dimensional vision; for example, I excel at ping pong.
For a tldr; see my much shorter and more entertaining parent comment, which was downvoted into oblivion.
I will kick your ass at pingpong. Science, Fuck Yeah!