They can be Nuttered in a way. You already have the Weber so there is no more computer controlled A/F mixture carb but you still have the computer controlling the timing and vacuum controls. The easiest way to go is to look at the Nutter schematic and take the distributor out of the circuit. There should be one or both of the dizzy signal wires that connect to the ECU, bypass the ECU. The signal wires should go straigh from the dizzy to the ignition module. Just match the colors. Once that is done and running, you can start stripping out all the excess wiring and the ECU. For the vacuum lines, the only ones I left in at the time were the dizzy advance, the purge signal for the vapor canister, and PCV. You should probably just do the dizzy wiring first, see how it runs and then decide how much of the other stuff you want to remove. Don't want to remove too much and then find you can't keep it running.
1986 CJ7, 4.2 w/4.0 head, TFI-HEI hybrid ignition, Clifford manifold w/Holley 390 w/cold air intake, OBA, 4.5" lift, Woody CV shaft and Tattons in front, 4.10 gears - lunchbox in front, Truetrac in the back, twin-sticked, blower upgrade for running topless, trying to keep it simple.
It's just a Jeep, and if you don't wheel it once in a while, it's not even that.