Slick 60's

Yeah, I checked the plug and all that. It's making good connection. Like I said, I'm going to have them both checked today. I've been putting off the ignition switch but I'm gonna break down and get one.

I just did the old school screwdriver on the pulley nut and its magnetized with key off. Bad alternator then?

I still would do a thorough continuity check on all the wiring. It is possible for a damaged alternator to back-feed the gauge circuit, but I would want to make absolutely certain there is no other problem before installing another alternator. Since the regulator has seen some abuse, it should be replaced also to insure alternator longevity.
Paul

Oh I agree.

Ok. Did continuity testing. No burned wires. Also did continuity test on the new alternator and its open between STA and the battery terminal. Had old one tested, it tested good. I have the new one off and having it tested just to see what they say. Most likely it's fried. Awesome!

Yep. New one got fried. I put the old on back on, no more clicking. It still seems to show low charging levels but is working. This may seem like a dumb question, but can the solenoid play a part in that?

Glad you got it working!
Solenoid should not directly affect charging assuming correct application and hook-up.
Let's go through the basics again:
Current alternator/ voltage regulator load tested?
Ignition switch replaced?
Alt gauge/ light- correct application and working correctly?
If the old alternator was subject to the short circuit(s) from burned wiring, it may be damaged, particularily the diodes.
If the regulator was subjected to same, ditto scenario.
If the gauge/charge indicator is damaged or incorrect, output may suffer.
Simplest solution left for last; fully charged battery and light load on system = low voltage output, (as might insufficient alternator rpm, low test speedbelt slippage).
'Nuff for a start (again)!
Paul

Sounds like I'm good. There is an after market volt meter in the dash but haven't hooked it up yet. I'm still studying auto electrical 101. Ha. Old alternator was never reconnected with fried wires. Bonus.