Chris, what you describe sounds like a classic description of cross-eye dominance, or more formally, ocular dominance.
It's a pretty common thing to encounter, and deal with, in other recreations - specifically the shooting sports. Kind of hard to 'reprogram' mature eyes, though, so the usual 'solution' is to either close one eye i.e. if you're sawing right handed, close your left eye. That introduces some other issues - primarily eye strain due to the right eye trying to compensate for the left, etc. etc. Some people go so far as to wear a patch or put tape over the lens of their glasses on the left eye (in this case) to force the right eye to be the one to focus, while allowing both eyes to be more relaxed.