Shuts off while Idling?

Engine was idling and it shut off it was third the 3rd time it has happened. All 3 times I was standing outside of the car while it was idling, never shut off while driving it. All 3 times plenty of power to turn engine over but would not fire.
first time it shut off, I noticed distributor was loose and it had moved, I put it back and tightened the hold down, and it fired right up, was fine for a couple months only drove it a couple times, 2nd time; I decided to replace distributor, installed new distributor and it fired right up again was fine for a couple months again only drove a couple times again, 3rd time It shut off again as it was sitting there idling, all 3 times I tried priming not knowing if it was a fuel issue, but it wasn't, has plenty of power turns over really well but will not fire, It has a new; (alternator)generator, new pro torque starter (3rd starter), also; each time I have driven car, or just let it run, after the engine reaches operating temperature starter drags and hesitates like power to it is fluctuating? Happened with all 3 starters, no visible issues with any wires anywhere that I can see, I did add a factory Tachometer in place of the clock recently, including factory filter mounted on firewall. I only own a test light, no test meter, it almost seems as though it may be something to do with Distributor. Battery term wire? Could that be? Is there a fusible link on that wire? There is a fuse link near the starter, I just put car on jackstands again, was going to check it! Your help is greatly appreciated.