I see it just the other way... (of course.) But that's because I'm left-handed.
I believe there is a dominant side, but that we do cater to it as well. No doubt that we ignore training the other hand in most usual activities, the fact remains that we have a definite dominance in hand, eye, and foot, as well as a different left brain-right brain approach to problem solving.
While we 'can' train the body to work well with both sides, this doesn't negate the overall dominance the body decrees.
This is the source of my confusion.