They are selling a generic switch. Ground is not used.
View attachment 1715889853
Key Off: No continuity between BAT and any other terminal
Key 1 click clockwise = RUN,
Continuity between BAT and Ign 1.
Continuity between BAT and Accessory
No continuity between BAT and other terminals
Key further clockwise for Start should be a momentary switch. A spring should be attempting to return the key to Run.
Continuity between BAT and Ign 2
Continuity between BAT and Start
No. For that we look at the alternator
View attachment 1715889859
and we should look at the regulator and regulator wiring.
If you can make a larger or sideways photo of the wiring diagram, we can be sure its not different than '62
According to the Tech booklets, the alternator wiring looks the same.
1960 Imperial and Chrysler Service Repair Book - Alternator Service
The regulator adjustment is a little different. So if you have the original 1960 regulator, the shop manual and is booklet are the ones to follow.
In 1961 the regulator adjustment changed a little.
Another difference we see in the illustration on that page
View attachment 1715889866
Iit looks like some (all?) 1960 models still used a starter with a seperate solenoid. You shop manual will clarify that. And we can also see what is on the car.
That broken yellow wire looks like it may have been an attempt to wire in a starter that uses an internal solenoid. With more photos of the starter we can figure it out.