Not going to be getting on to this right away. I have other obligations in the way. Once I have finished those, I'll get back to this.
But I was considering do an alteration on the GP system anyway. Hooking it up via the temp switch, to keep it from running when the engine is already hot enough to start on it's own.
What I am thinking now is that I will probably remove the entire GP system, except the plugs. (Completely remove all the wires, and the controller, from the truck.)
Put on a new GP harness.
Install a tractor starter solenoid near the driver's side battery.
Hook the GP harness to that. (No controller. Just the starter solenoid.)
Then run a relay to power that solenoid. And ground the relay through a momentary on, (40 amp) switch in the cab.
Running all of that from the driver's side battery.