Monc, is there anyone on here who who lives close to give you a hand? I know it is a pain to trouble shoot this problem. I'm an electrical engineer and it took me quite some time to figure out the problem when it happened on my '68 dodge truck. On my truck, it would start when cold, but when warn it did the only starts after releasing the key thing. The difference is heat increases the resistance of the battery cables so I was loosing more voltage through the cables with the warmed up engine.
One trick I tried, that helped a little (before I found out I had a bad ground battery cable) was to install a diode across the ballast resistor, to reduce the voltage drop at the ballast resistor (going back to the ECU) when cranking the engine.

In your case, have you tried a known good battery, the battery voltages seem a bit low?

On the otherhand this is another reason I dislike the stock style electronic ignition setup (including the Mopar conversion kit, which is just a 4-pin version of the stock electronic ignition.)
All but one of my cars has either a CD ignition or an all-in-one distrubitor/ignition.