Howdy Mr. Chancesr,
I am also a right hand dominant shooter sir, so I can very well understand the situation you now find yourself facing. But once I started in law enforcement in the early 70s, I realized being able to fire weak hand supported and more important for me, weak hand only, were both survival skills I need to acquire.
It really does work just the same in my view, except you have to remind yourself it is truly a mirror situation from what you are accustomed to. All of my qualification courses over the years, and especially various tactical courses have required the use of weak hand only shooting. They have even required weak hand only malfunction drills. I can assure you with practice, these begin to feel a bit more "normal" for us right handed folks.
Since you have been right handed as your dominant hand all of your life, the odds figure that your right arm is a bit stronger than your left too. So you may find that intially when making this change, your groups will not be as tight. My suggestion to you sir, especially if doing any "left hand only" drills is to cant your handgun inward about 45 degress. This will engage more of the muscles of your left arm, and give you a stronger firing position than would a "normal, straight up" hold. Of course, if you decide to add in some "new, weak hand (right) only drills, do the same, and cant your handgun inward about 45 degrees, for the same reason.
It has also been my observation that most shooters I have trained over the decades, with just a bit of practice, actually end up shooting slightly tighter groups with their left hand, during one hand only stages. I think as much as anything, subconsciously you do not feel as strong with what was/is your weak hand, and you actually concentrate more on your shooting techniques.
Just hang in there sir, as it truly is an acquired skill. Once acquired it also needs to be practiced to maintain it in my view. I recall about 1 year into my time on duty, I was chasing a murder suspect. He jumped a chain link fence into a back yard at 0'dark hundred, so I did too. However, I left a large portion of my right palm flesh hanging on the top of the fence. It took I think 6 stitches to close the wound, and required me to wear a shoulder holster in uniform for about 2 months, as I would have to fire using my left hand as my primary hand. But by that time, I had already developed my skills to the point I was confident I could shoot this way too.
From my experiences, I think when faced to change something as you now must sir, you DO adapt to it. The more you shoot right now, I think you will find the quicker it begins to feel "more normal" for you too. Trust me, with my right hand still heavily bandaged and stitched, I did do some serious left hand only practice consistently for a couple of weeks (almost daily), and then continued to practice a couple of times each week, to maintain that survival skill.
I hope reading this may help you feel that things are not quite as bleak as they may seem to you right now too sir. Hang in there and just practice as much as you can. It really is an acquired skill, and besides, you will be able to use both hands for the most part too. So it really could be worse.
twoguns