Before you spend your money on a new slide stop call some of the vendors like EGW and Wilson to ask what the length of the engagement lug is. Tell them what you want it for. Heck, EGW might even make one up for you. They custom ream barrel bushings to your spec on request. The other option is to call Kimber and ask for another slide stop. It may not/probably won't solve your problem, but you'll have an extra to experiment with. You can have someone TIG some extra material on the face of the lug and file to fit.
Kimber insists on using a spring meant for the 3-1/2" Colt OACP in their 4" guns. The in battery spring pressure is too low with that spring. It is known to cause problems. Wolff has a proper spring made for that application.
http://www.gunsprings.com/Semi-Auto Pistols/KIMBER/Compact & Pro Carry/cID1/mID32/dID413
Three other problems common to Kimbers are: the Series 80 style firing pin stop that leaves a hole that can trap/shear off the tip of the push rod that raises the firing pin lock, poorly finished barrel standing lug that develops peening from contact with the slide stop eventually resulting in failure to feed/chamber, and unfinished chambers from not using a finish reamer after boring the chamber. All easily corrected, but the guns should not have been shipped that way. EGW makes an excellent slide stop for that application. It does require fitting, but it is a simple process.
http://www.egwguns.com/index.php?p=product&id=60
You don't find the last two problems on all Kimbers, but it does occur on a significant number.
Not Kimber bashing as all brands have their idiosyncrasies. Along with the slide stop/slide notch those just happen to be Kimber's issues.
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The Wilson flat wire spring is the best option for improving the recoil spring. The flat wire spring lives much longer than round wire springs.