I have one thing to say.
If you enjoy shooting a full sized 1911 chambered in 45 acp, then you'll most likely enjoy shooting the Sig P938.
It's similar to a person who enjoys shooting a full sized Glock, but then also enjoys shooting one of the "Baby" Glocks.
I know someone with a P938, she says she loves it, but I can see it's hard for her to shoot well. But she has a problem shooting well in general. I don't think she shoots (anything) enough to really relax and put the time and focus into regularly making good shots. Because of this, her difficulty with the P938 might be a little more exaggerated due to inexperience and things she uses as an excuse such as, "Well, I can only get two fingers on the grip." or "I haven't shot this one for a while."
lol... anyway. She does well enough with it, and it's actually one of her favorites, especially with the extended grip magazine.
I've felt like in my experience with it, it is a very accurate gun and easy to shoot well for being so small. And depending on the grip combination from the factory it will have either a LOT of traction or at least enough so it stays put in your hands, despite it having so much "pep" from being a smaller 9mm.
I actually really like them, and feel like it's a really great concealed carry gun.
Again... my main point, is that if you are confident and happy shooting a full sized 45 acp 1911, then you will probably do just as well with the little P938.
Good luck!
Whoops!~ Almost forgot to mention. Cocked and Locked~!