Alternator/regulator upgrade
If it helps visualize the current path, on a factory '67, it would look like this after starting.
As you know, once the battery is recharged, the ammeter should be around zero for normal driving.
I'd look for resistance in the output path and then the battery line.
Also look for anything to the battery side of the ammeter that might be drawing current through the ammeter.
Since the charging circuit has been rewired, one of the things to do is figure out how that was done.
You can start with this and fill in as you figure it out. The only items originally on the ignition run were the ignition and the alternator.