Hi everyone. Thanks for the suggestions. Here is where we stand now.
We (my son and I) have corrected all cold start troubles and eliminated the "no fuel" issue when the car gets hot, HOWEVER it will still only run for about 20-25 minutes before it just quits. Once it rests and cools for 1/2 hour or so, it will once again start and run ... for another 20-25 minutes, then quit. Here is a more detailed breakdown of the symptoms and what we have already done.
SYMNPTOMS
On cold start, the engine will start almost immediately and idles nice and smooth. It will run flawlessly at low and high RPM, it pulls very nicely on acceleration. After about 20 minutes of running (normal driving speeds), I will notice it starting to hesitate/stutter, but it will keep going as long as the throttle is pressed (minimum of 2000 RPM or so). It will stutter hard under acceleration, but will eventually get going, and I can keep it going as long as there are no stops. This is difficult to keep up, though, and it will eventually quit, at which time it will crank over, but nothing ... not even a sputter. And so on and so forth for 1/2 hour ..... very consistent.
WHAT HS BEEN DONE
I replaced the electronic ignition and timed it, replaced the fuel pump (temporarily) with a modern electronic pump (supposedly meeting the pressure/flow characteristics of the original mechanical pump), checked that we get fuel to the Injector Pump and at each injector, rehabilitated the starter relay (used for cold start), and verified the thermal switch is working properly.
ANY IDEAS are welcomed!