Battery becoming very hot

Agreed that's not right for a healthy system. Good to see the ammeter. Bad connections somewhere. Possibly bulkhead connector but I don't know exactly how and where to test. Hopefully someone will chime in.
Right here Mike. :) Refresh the page.
Working my way through the photos and waiting for Eddie to check back in.
An 70 up voltage regulator and Mopar performance chrome box were spliced in. Neither of those should cause this. I suspect something else was done at the same time but we'll need to follow the wires...