I do not know anything about the Sig and today was the first time I ever fired a Kimber.
Today, I took my Kimber Compact CDP II to the range for the first time. I used 100 CCI 230 FMJ rounds as my familiarization session. I was astonished at the results.
The Kimber had less "kick" than my .40 cal Walther P99QA or even my Walther PPK/S .380. But, that is not the most signifcant thing I found.
The Kimber made me a better shooter than I am! It absolutely came right out of the box and was a true as can be. My first shot hit dead center in the bullseye. The remainder of the magazine found all bullseyes or the line separating the 9 rang and the bullseye.
The remainder fo the 100 rounds landed in placements no greater than the 8 ring with the majority in the 9 and bullseye.
I have never shot this well. It has to be the Kimber. It fits my hand well, the sights are great and the trigger pull was such that I never knew just before my squeeze fired the gun.
As I said, I don't know anything about the Sig. But, I sure know how great my day at the range was today.
Good luck in your choice.