Those parts kits are for just what they're advertised, spare parts for Uzi SMGs, not carbines.
While the two guns look alike from the outside there are many differences. Any ATF agent who looked at supposed "postban Uzi carbine", open bolt, fully automatic lower and a folding stock would be able to nail your hide to the barn door in short order.
The very minimum changes would be to get a serialized carbine receiver, collet and barrel, extractor, ejector, bolt, lower assembly, fixed wooden stock and I may be leaving some out as its been a long time since I looked at an Uzi carbine.