All the electricity to run your ignition will be routed through your ignition switch and related relays. Sounds like you have a high resistance in one of the circuits that is causing overheating of a component leading to failure. Check your ignition switch as the most likely culprit.
You may also have a grounding problem causing poor sensor input to the EEC-1V. There are a lot of grounds so look for the ones related to the EEC-1V computer, engine and body. I think there is a pink/orange wire on the EEC-1V connector for ground that connects to a black/white ground wire and the VSS (Vehicle speed sensor).
On my '93 3.8 the computer is located in the passenger compartment on passenger side below dash by right fender. There is a braided ground strap in the engine compartment on the right side near firewall connecting body to engine. Battery grounds to engine at the starter mounting bolt. Check the firewall for grounds and clean them up.
I have heard several people report much improved engine performance after working on improving their grounds. That is all their grounds - takes a while. | 
