I had something similar with mine as it would cut out all of a sudden without any warning. It could be started after some time,however after acouple of those embarrassing moments starting was not possible anymore. Of course I tried to solve the problem everytime it had happened but without any result.
In order to cut a long story short it turned out that the Fuel Cut Off Switch (Crash Switch) was the offending part, it looked okay on the outside (ie it had not been triggered etc) and on the inside (opened it up after replacement). My temporaly fix was unplugging the connector on the switch and using a paperclip as a bridge (some minor remodelling of the paperclip had to be done), and fixing the connector / paperclip assembly in place with an elastic band. Ordered a new swich and everything was fine again.
So Darren's (dodge1979) long shot could be right on target.
Freek