I discovered about five years ago that my vision had switched to make my left-eye now the dominant eye (I'm right -handed) and after trying the tape and dots on the shooting glasses, just decided to bite the bullet and re-learn to shoot left-handed.
Probably the best advice that I had ever been given (and I actually listened to it !

)
It did take some getting used to but now I am completely comfortable shooting lefty. (Bow as well)
I also agree with Classic's post that this situation (cross eye-dominance with respect to hand preference) has traditionally been thought of as a bad situation to have. It took a Master class shooting instructor to point out that your strong lead hand is what's steadying your gun mount. It was one of those "lightbulb" (read, Duh?!!) moments for me.