Would that explain killing the entire electric accessory system and then "re-setting" when I unhook the positive battery cable then re-connect it?
Nope. Well, partially, but not without the help of a bad battery cable or two.
Killing the entire system temporarily on an Early Bronco can only be done one of two ways if the wiring is still original.
First is to somehow have the Black w/yellow stripe wire (one of the larger wires in the harness) that runs from the starter relay into the cabin go bad. Usually the only failure points are the fusible link, which is right at the starter relay/solenoid, or the connector behind the ammeter gauge.
But second, and not necessarily in that order, is one of the battery cables. Either the short positive one that runs from the battery to the relay, or the long negative one that runs to the engine block.
They can fail internally even when not that old, but more often than not it's old age that gets them. Corrosion, loose connections, rusty contact points, the usual suspects.
If it immediately resets when you remove and reinstall the battery positive cable, then I'd suspect that one first. But frankly, if yours are older, or of smaller size/gauge, then I'd just replace all three (including the starter cable) with some new 2ga heavy duty ones.
It's pretty cheap, and all three are probably less than 30 bucks even these days.
Paul