I am left handed and left eye dominant. When I joined the military it became clear to me that it was righty's world no big deal at first I shoot just as well right handed. It only started to matter later in my career when I realized that cross dominance slowed me down transitioning from pistol to rifle. May or may not matter to you.
I fixed the issue with a lot of ammo and covering the lens of my left eye. Got comfortable then used a shaded lens for a bit. Eventually it was instinctual to aim with my right eye. I guess you could probably do the same dry firing unless someone else buys your ammo too.