Getting back on topic:
Curtis: how are your technical skills? Can you trace out signals from the ECU?
You could have a couple things going on. Lets get a bit more information.
1. You said the ECU/Fuel/Ignition are from an 89. Does that include the computer controlled 89 distributor? Your other comment about points then HEI wasn't clear to me.
2. What vintage is the 350? You said it was older than the fuel system. Do you know whether it has the intake from the 89 or the intake from the engine?
3. What transmission does it have?
4. Is the ignition switch connected directly to the starter? Or does it pass through the ECU?
If you can give us that info (and maybe a picture or two of your setup?), we can dig in and give you some more helpful assistance.
Alternatively, for a modern engine, it is hard to go wrong with an LS swap. That is also something we can give you some advice on.