Here's a pretty good write up I came across on how to check the charging system.
As others have suggested, the dash lights / dimmer issues are a separate problem.
Make sure the VR is grounded. Scrape the firewall around the bolts, the back of the regulator case, use star washers
Check the alternator and field wiring by "full fielding" the alternator
The way these work is, the ignition switch (ignition run) feeds power to one field terminal (does not matter which one, you can switch field wires)
So power goes to one field terminal, THROUGH the field magnet, and back out on the GREEN
The regulator controls it by controlling the "amount of ground" so to speak on the green wire.
1---At the regulator connector, ground the GREEN terminal. Run the engine while monitoring battery voltage, say, at the starter relay or other battery "hot" point. Bringing up RPM should cause battery voltage to rise. If it does not, clip your meter to the alternator stud and try again. If it goes way up there, but not at the battery, your charging line is not actually continuous to the battery. If voltage does not go up at the alternator, but you DO have battery voltage (12.6) there----------------------go to 2
If the battery voltage DID go up in this test, check to be sure that the regulator harness connector and the regulator terminals are clean, and DOUBLE check that the regulator is grounded. Hook everything back up "normal" and recheck. If it does not charge, replace the regulator.
2--Might be a field wiring problem. Engine off, switch in "run", pull the green field wire off at the alternator, and clip that alternator terminal to ground. You should get a small spark. Measure voltage at the opposite field terminal to make sure you have battery voltage "under load." If you do, start the engine, and again check if charging voltage comes up. If not, you have problems with the alternator.
If voltage DOES come up, and did not in test 1, you have a field wiring problem somewhere
Basic diagram:
All you have is, the regulator "I" terminal (middle one) goes to switched 12 volts, along with ONE (either) field terminal. The remaining field terminal goes to the remaining terminal on the regulator, (F).