Something that I would try. I would try to rule out an electrical problem first, before suspecting a fuel problem. You could connect the (+) Positive lead from a 12 Volt Test Light, or rig up a small 12 volt bulb, to the 12 volt side of the Ballast Resistor and connect the other lead to ground. Place and secure the light where you can see it while driving. Go for a drive. If the light goes out momentarily while you're driving, then you'll know that the engine is "cutting out" because of possibly a bad connection in the wiring harness, bulkhead connector or at the Fusible Link, a defect in the Ignition Switch or a broken wire in the harness somewhere. This test will show whether or not you have constant, reliable voltage as far as the Ballast Resistor. Now connect the light to the (+) Positive side of the ignition coil and go for another drive to see if the wiring from the resistor to coil is okay. The light likely wont be as bright, but what matters is whether it stays lit constantly. If the light doesn't go out intermittently and your engine still dies, then you'll know that it's either the ignition coil, in the distributor or a fuel related issue.
This is what I would try if it were my car.