Well the carb may need to be tuned up/cleaned/rebuilt. there are many threads on the forums about tuning webers.
that being said, if the Nutter has not been done then you will need to do it even though you have a weber carb. that is because the computer is still controlling the timing and god knows what it is doing to it. Read up on the Nutter and get that done so that you have good timing and then you can go from there. also look into the "team rush" ignition upgrade on this forum and the CJ forum. early 80's CJ had virtuallt the same engine and you can get good tips from the CJ forum.
also research what old emissions components you can remove, right away I see the solenoids on the valve cover and the switches right behind there on the firewall can be the first to go .
read this site, you can learn what everything is to figure out what can go or stay: