Most .38 super factory chambered guns will work just fine in 9x23. Some will need a chamber reaming and extractor tweak, but some will work 100% fine.
I have two .38 supers that work great with 9mm Largo, .38 super, .38 Supercomp, 9x23 Supercomp, and 9x23.
Use an ISMI flat wire recoil spring for the Kimber Compact (20lbs) a 23 lb hammer spring and you will be good to go with full bore 9x23.
I also have a 9mm Kimber Compact Alloy that will probably get the treatment that you are considering.
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