Slant Six Stalling, Suspected Ignition problem

Not expert, but I vaguely recall that the dual ballast was used in the earliest electronic ignition. Later ones don't need the ballast resistor for the ECU module. I recall that later ECU's don't have the 5th pin, and in after-market ones the 5th pin is a dummy. Many posts here, so whatever they state. If a V-8, you could easily bypass all those concerns with the Ningbo $50 HEI distributor w/ integral ECU (ebay), but haven't seen one yet for a slant. Many here replace the factory ECU with a GM 8-pin HEI module and coil, which might be easier than fussing with your factory module, ballast, and wiring. That eliminates the ballast, so just needs straight IGN power, and is more modern (dwell control) so a stronger spark. I put that in my 1964 slant. Your existing distributor triggers it (get polarity correct). Many posts and TrailBeast here kitted new parts for those who fear junkyards (1985-95 GM V-8 truck).

Re fuel, when it won't run see if it will off shots of starter fluid down the carb, though sounds like an electrical problem. My suspects would be the bulkhead feed-thru terminals, key switch, or ECU ground. Run a separate ground wire, whether current ECU or GM module. Don't rely on the rusty sheet-metal screw like Chrysler did.