he cutting out problem could also be vapor lock, which tends to happen more if your fuel filter is partially clogged. Vapor lock happens when the fuel line gets hot enough to bubble the gasoline, and then it will start again when things cool off. But I've also had that problem caused by a bad ignition coil, and by a bad magnetic pickup coil in the distributor.

1977 CJ-7, fiberglass body, AMC 360 w/ headers, DUI ignition, Edelbrock intake and Holley 4150 carb, TF999, Dana 300, 4.56 gears lockers, York air comp, 4" susp lift, 2" body lift, BFG 35" M-T tires, Megashifter, AGR pump & box, REP8000 winch.