the rear of your bolt carrier needs to be able to fit an extension to make up the length difference the LAW folder adds in front of the buffertube...the double "O" ringed plug from the 5.56 kit needs to be able to work in your 9mm bolt carrier, or drill the carrier and make your own extension... although the length of travel needed for a 9mm cartridge to clear the chamber is less than a 5.56, you might want to use as much length of travel as possible to reduce bolt speed, a blow back 9mm has a lot more recoil than a 5.56 and you will need to really work with recoil spring rates if you significantly shorten the buffer tube...
at one time,I had planned on a proof of concept compact folding 7" 9mm with my LAW folder and spare 9mm lower... I envisioned drilling one of my extra 9mm bolts to take the LAW plug extension.... at the time I had been shooting 9mm PCC for USPSA for several years, and at that time had seen a variety of problems in the early 9mm PCC platforms, and other than a proof of concept did not think it had the reliability for a dedicated defensive firearm... instead, I built a couple of G17.3 with Venom and RMR2 dot scopes, and installed them in Recover Tactical folding chassis with spare mag front ends... much cheaper as the donor pistols were in the safe and a much smaller and more reliable platform, and provided basically the same ballistics as a short 9mm carbine... YMMV
regards Les L747