Assuming you're wiring the alternator pictured to a stock Samurai harness..........The the black white wire from the Samurai runs from the Samurai ignition to the alternator terminal that energizes (the S terminal in your picture) meaning it turns on the voltage regulator. The Alternator needs to see voltage in order to work. The white wire with red stripe form the Samurai is for the charge light and is hooked to the D+ terminal in your picture. Assuming your picture is correct on which terminal is which.
I do NOT loop from S terminal to the charge post like most diagrams. Reason? Well if you do that you have an alternator that's always energized and that's not good from a fire perspective. You're keeping the voltage regulator on all the time key on or off and it can burn out or even worse catch fire or drain your battery.. That's why all OEM's energize from the ignition at key on.
I hooked up a CS130 to my Samurai as above and it works flawlessly and has been for several years now.
Tim