I am right handed but was left eyed until I lost my central vision in my left eye. The transition to being a right eyed person was a bit confusing at first, but eventually it sorted out. The only time it really makes a difference is when your sighting something, as in aiming a firearm or in archery. Have you ever tried to find a left handed bow? If they exist, Iíve never seen one!
Iím told that given equal or nearly equal visual acuity, it is unusual for a right dominant person to have opposite visual dominance, so Iím a bit of a rarity.