I've heard a lot about those CA emission problems with the Carter. A friend of mine has an 81 CJ7 that when she moved East to SC, she started yanking the CA stuff off. At first it was a nightmare, but with a lot of work and replacing or rerouting the vacuum lines, she has it running quite well. For you to have the red-hot muffler, odds aren't that it is a bad cat converter. They will cause restricted flow and not let the heat even make it to the muffler... so that's out for now. I have seen folks have a bad spark plug or wire that causes this heated condition and bad idle or stalling. See, you might have fuel not burning in a cylinder or two and it is being passed out the exhaust and burns in the exhaust system rather than in the cylinder making things a little hot down the pipe.... The tune up part clicks with this.... Pull your plugs, make sure they look okay and are all gapped properly. When doing this, you can tell if the wires are working at all or not because you will have a plug that don't look like the rest of them. Check to make sure the lead (threaded wire looking thing inside the jacket of the plug wires) makes good contact with the seat (the metal thing that "clicks" on the spark plug on one end and goes down and makes contact inside the cap) inside the boot on both the plug end and the dist cap end....
Okay, thats for the red muffler thing....
Make sure all the vacuum lines are hooked up where they are intended to. A combination of the web and a Chilton book will help this test....
web page with great stuff on it....click around that site and you will find diagrams and some good write ups....
Okay, that aside, try a test that will help figure out part of a vacuum problem.... pull the gas cap off and try to run her. One of the vacuum lines runs off the evap. canister to the fuel tank. Oddly enough, this may help in the troubleshooting. Next would be doing a test on the canister to see if it is clogged, if it is functioning properly, if it is purging or whatever.
Just some thoughts.... Good luck and keep us posted as to what you find and what cures this.
Happy Jeeping!