OK, This is weird!
My comments are based on the wiring of a 3rd gen 4R - I have the schematic. I don't think much has changed for the charge/brake circuits from 1st to 3rd. A schematic would confirm this if anyone has one.
The only thing in common between the charge light and brake light is the power source. The brake circuit is a simple power (+) to bulb and a with to ground (-) for the brake fluid reservoir and one for the parking brake. Either switch can turn on the bulb. Battery/Alternator voltage has no impact on this circuit other than a dim bulb if the voltage is low or a burned out bulb if the voltage is too high.
The charge bulb has the same power (+) source and the charge controller (inside the alternator) switches the circuit to ground (-) to turn on the bulb.
If both bulbs light continuously and simultaneously (never one on by itself) then I would guess that the wires that go to the regulator and brake switches are touching somewhere. When on thing (regulator, brake reservoir or parking brake) gets switched on, both bulbs have a ground path.
Question: When you put on the parking brake does the charge light also light? If no, then the previous guess is incorrect.
The other question is, why do the lights come on? Since it is idle related, I would suspect the alternator's regulator, and the brake light is just going along for the ride.
Is the alternator the correct one for the vehicle? Is the pulley the right size?
You might want to invest in a cigarette lighter plug volt meter so you can keep an eye on the voltage while driving Something like this:
Amazon product ASIN B00UCEAKYU
Comments? Thoughts? Obscene remarks or rude gestures??????