Good result and useful comments from all. If that white plastic connector is not original (check wiring schematic), I would remove it. I would connect each wire w/ solder and heat shrink. A guess is that someone put in all those guillotine wire taps to install a radio, perhaps techs at a car radio shop. They work fast, but are bad news for long-term. U-haul centers used to hack up the rear wiring harness like that to connect trailer lights. They pierce the insulation to allow corrosion, plus cut into the copper which can fail it over time. I had to de-Gomer the dash wiring in my two A-bodies.
I agree that you could re-use your ammeter if you clean the connectors well and solder wires to it, then use in-line connectors rated for 60+ A. If not cleaned of corrosion the solder won't flow well and ball up, making a "cold joint". The factory design w/ nuts wasn't good enough to last 40 years to conduct 60 A without heat. Only because you have a low-rust CA car did it last this long. Also worry about your bulkhead connector (many posts).