Engine dies, but turn the key off and back on it fires right back up

I'm 4 years late to this but I saw a link to this topic from a guy at FBBO.
I'm dealing with a random NO spark issue where my '70 Charger (big block, MP electronic ignition kit) will do one of the following:
Run fine all the time.
Run, then just die and have no spark...I wait a little bit and it starts up normally.
Run, then just die and have no spark...swap parts until it starts (Who knows if anything helped, the damned thing may have started with no changes)
Cold start after sitting, no spark. Warm engine after running awhile won't have spark.
No spark cold or warm engine, spray ether down carburetor and it starts up like normal.

I'm cleaning the bulkhead terminals and packing the plugs with dielectric grease tomorrow.