The Kimber grips will be standard thickness, so you WILL need standard length grip screws. You may be able to run with the slim bushiings, as long as the new grips 'locate' firmly on them... but...
you can NOT tighten the screws overly tight, or you will distort the rubber grips (even if they have a plastic back/insert). If they stay put, and don't loosen up, then you may be okay. Otherwise, you will need to get standard bushings if you stay with a standard style grip panel.
Colt Ultra Ten 10mm, H&K USP .45 Tactical, Sig P220 9mm (now 9x23), Sig P220 Compact SAO, Springfield LWT Compact compensated .45 (and .400 Corbon), Springfield LWT Micro .45, Springfield .40 'Defender' compensated (now 10mm), Springfield LWT V10 Ultra, Caspian/Fusion .38/9x23 LWT Officers build, S&W M&P40c.