You need: A factory service manual, which you can download from MyMopar.com for free
a multimeter
A 12V test lamp, preferably with a real lamp instead of an LED
A couple of alligator clip jumpers
Your usual other tools
Assuming the charging system is not modified, meaning, it has the original style VR and alternator "before '70":
Start by removing the green wire from the alternator, which is the FIELD. Clip a jumper to the alternator field terminal and connect to the battery, AKA the big stud on the starter relay
If in subdued lighting, you should be able to hear and maybe see a small spark as you connect/ disconnect.
Start and run the car, with a multimeter clipped to the battery. Watch the ammeter and the multimeter. Ammeter should come up charging (to right) and voltage should increase. Try not to let it get above 16V adjust with throttle.
If so, alternator is charging, and charge wire/ ammeter circuit is OK
If no charge, or if voltmeter stays down around 12V, move meter to the big stud on rear of alternator. With same setup and engine running at fast idle, note voltage. If it is very high, way above 14 there at the alternator output stud, but NOT so at the battery, there is a problem in the charge path to the battery
If above test shows a charge, move on............................
Remove wires from VR and "rig" a way to jumper them across. This basically repeats the first test of jumpering the field, but now you are checking all the field wiring. Re-reun engine with this bypass and again see if the alternator charges. If so, replace the VR. VR MUST BE GROUNDED MUST!!!