Now, to set the outright lies straight...
*76 CJ5 304 *
The '76 CJ5 with 304 V-8.
In '76 the AMC corp used the Prestolite Ignition system, and the V-8 equipped vehicles were supplied with Motorcraft alternators with external regulators.
Only the Delco alternator equipped vehicles would have a resistor wire, and in '76 & '77 that wire would be a black with red tracer, not 'brown'.
But your vehicle wasn't equipped with a Delco alternator from the factory, so it won't have a 'Brown Resistor Wire' at all under any circumstances.
Even if the vehicle has been converted to a Delco internal regulated alternator....
The resistor wire is only for the exciter in the early internal voltage regulator and took the place of a warning light.
Having, or not having this 'Brown Resistor Wire' wouldn't make a bit of difference in the overcharging of your battery.
If your vehicle was factory V-8 equipped, it doesn't have a 'Brown Resistor Wire'.
If memory serves me, (and it usually does...)
You should have a Black 16 gauge as the exciter going into the voltage regulator,
A Yellow 16 gauge going into the voltage regulator,
A Green 16 gauge going into the voltage regulator,
A Red 10 gauge going into the alternator,
A Green 16 gauge going into the alternator.
The wires going into the 4 wire regulator connector soul be Green, Black, Yellow, and one open spot that has no wire, in that order.
If you have the high altitude model, there will also be a Red 18 gauge wire from the alternator 'S' terminal to the carb choke.
The Deep Cycle battery you are using is the wrong battery for this application.
So many cats, so few recipes...