Cossack - before you starting messing with your sights - don't assume it is the sights that are making you hit left. A lot of things can affect the windage.
Are you shooting two handed? Or traditional single handed hold? Either way - it's not much different than with any handgun. Lots of times it is not the sights - it's your hold. If a 45 Colt is new to you then you need to put quite a few rounds down range to get used to your handgun. Are you anticipating discharge/recoil? Are you gripping the plow handle the same each time?
And remember - different loads will shoot differently. If you are going to reload - you can work up a load that works well and stick with it as you will pretty much know POA in regards to POI. If you are using store bought - you won't or might not get the same ammo each time - thus your POA and POI may differ.
In reality - when that 7 1/2" goes off - you are getting some muzzle rise with the end of the barrel as the slug is pushed down the tube and it leaves. That is pretty easy to get used to. Windage - that may take some time.
As an example - I shoot a lot of SAA and vintage DA Smiths. When I picked up a Smith 9mm Shield to change off on my CCW carry with my Smith 36 snub - I had a lot of issues with my hits going left. But, I knew it was me and not the handgun and as it turned out - after 300 rounds or so downrange - my grip was adjusted which took care of the windage problem.
Don't get discouraged - pretty soon that dogleg will be like an extension of your arm and it will hit where you point it. I have one like yours and I mostly shoot 255 gr RPFN out of it - traditional slug. All I shoot are reloads. Sometimes I use a 230 gr. RNFP. Both shoot differently as far as POA and POI. When I do have a windage issue - I can easily chalk it up to operator error as I know as soon as I pull the trigger whether it's going left or right instead of center.
Of all my calibers that I reload, the 45 Colt is my favorite. Just something about that old traditional round and those blunt nosed lead slugs. Your revolver is a nice looking one! Enjoy and have fun and just get some rounds under you belt before you start to alter anything as far as sights. It's not that sights can't be off - even on original Colts it was not uncommon to bend a front sight either left or right to compensate. But I'm a firm believer that once you know "how" your revolver shoots and where it hits, you can easily adjust the windage with your POA to compensate the same as elevation for the distances you are shooting. And practice at uncommon distances - not just 25 yards, 50 yards, etc. Realistic shooting is at different distances so as you continue to get used to your individual SAA, you'll be able to adjust your sight picture for the odd distances.
Have fun and enjoy! The only thing that distances you from Wyatt Earp or Bat Masterson is time . . . you still on even gourd with them as far as what's in your hand!