Left handed, right eye dominant. Learned to shoot rifles, shotguns, pistols right handed. Just seemed normal and was before I knew about right eye dominance. And the fact that the rifles I shot were rh. Later on I trained myself to shoot pistol with either hand. My solution was this; simply move the gun over in front of my right eye when shooting lefty pistol. Head up, shoulders down and relaxed, both eyes open. Has worked for me for many years.
I see instances of cross dominance often in first timers classes. I give the students the option to try shooting with both hands to see which they prefer. Some have trained to shoot lefty/lefty or righty/righty. Others have simply done the gun shift using dominant hand and dominant eye. Try the options and see what your son/shooter likes best, or is more comfortable with. With new shooters the time to try both hands is as early as possible.