Right Hand, Right Eye Dominant..

I'm naturally left handed, right eye dominant, and I'll assume we're talking pistols here. I try to practice ambidextrous holds regularly and with a two handed hold, shoulders squared to the target, don't have much trouble switching hands or eyes, especially at defensive ranges. Shooting one hand, left handed, left shoulder leading, right eye is awkward, don't do it much except for drills.
I've found that practicing everyday chores, such as brushing my teeth, handwrighting, and grip exercises using my off hand seem to help develop better control.
For what it's worth, recently started using a dot style optic and it seems to make it easier to switch between eyes and hands.
Probably not the answers your looking for but just more practice, live and dryfire , finding the combination that works for you would be my answer.

When I had the tendon in my right hand repaired. I quickly found out I could not easily operate my normal carry gun, could not rack the slide or reload the magazine. So I switched to a compact revolver. I practiced shooting left handed left eye, helps if you cant the gun slightly. For me the hard part is drawing from concealment. With full use of both hands I always used off hand to clear the cover garment strong hand to draw to retention. then either engage from retention or complete draw to for extension. Now I had to do everything with my weak hand only. And try and keep your now weak right hand out of the way while doing all of that.

Start over at the most basic level in drills, and don't outrun your headlights. Work your way up slowly and incrementally. You may be a IPSC master, but trying to do it all with your weak hand without preparation will almost always disappoint you, not to mention the fact that such a change to already ingrained habits could easily present safety issues if you bite off more than you are ready to chew. Time spent in dry drills and with a 22 would probably be time well spent.

I was pretty much gonna say that the same thing: practice the same drills as usual, just with the other hand.

You should be doing this anyway.

FL-NC said:

Start over at the most basic level in drills, and don't outrun your headlights. Work your way up slowly and incrementally. You may be a IPSC master, but trying to do it all with your weak hand without preparation will almost always disappoint you, not to mention the fact that such a change to already ingrained habits could easily present safety issues if you bite off more than you are ready to chew. Time spent in dry drills and with a 22 would probably be time well spent.

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Exactly this.
Slow is smooth, smooth is fast.
Do everything correctly, everytime.

bdickens said:

I was pretty much gonna say that the same thing: practice the same drills as usual, just with the other hand.

You should be doing this anyway.

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Pretty much this.

I suck weak hand but I still practice.

As far as sight, I'm left eye dominant but shoot right handed. Not really a big deal with pistols with irons, but is certainly an obstacle with longuns that have red dots or scopes.