I've looked and am not finding a write up on this, what exactly are you replacing? Are you just getting some kind of aftermarket wiring loom and wiring the exact same way?
There's plenty of write ups and videos. K-Suspension has a nice little video. I did not make a write up of my setup as it didn't take too long to install. Took me longer to remove the factory plug from the H4 bulb I had on there than to install the new wiring.
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K-Suspension H4 Harness Installation is very, very straight forward and uses your existing setup for the switch. This way you keep your stock high beam lever push and pull as well as the push/pull headlight switch.
The factory wiring plugs to the K-Suspension harness on the passenger side, and all you need to do is plug the red wire to the battery positive, and the black one to battery negative. Bolt the relays to a safe place in the engine bay and tuck everything else where is out of the way and safe. Then plug your headlights to the new harness. That's it, no fuss, no muss. I did add dialectic grease on the connectors just for prevention as winter will be here soon and they salt like crazy around here.
With stock used to death H4 bulbs, the KC housings I have were easily double if not triple the output before the harness installation. Now that I'm running LED H4 bulbs in there the difference is night and day. I chose the yellow 3k temperature because it rains a lot and there is always fog where I live in NY. The brightness of the bulb is almost 100w to be honest. No one has flashed me driving at night and my eyes aren't as tired after driving back and forth to work or just going about. I will try the JW headlights with the same setup and will probably take the time to do a comparison of the stock harness,(KC H4 housing and cheap bulb, LED bulb and JW Speaker headlights) K-Suspension harness(KC H4 housing and cheap bulb, LED bulb and JW Speaker headlight) my neighbors are going to love me.
This way, I can clearly define the upgrade in harness as well as headlights for someone in a pinch and/or on the fence about going one way or the other. Without the comparison, I can definitely and honestly say that the K-Suspension harness is a must even if keep the stock factory sealed headlight setup. At the least, most TJs are now around 15 years old, and at most like mine, you're looking at 23-24 years old. The harness and connectors have seen better days and a lot of heat and corrosion in the north east. My driver's side connector looked like it melted over the H4 bulb(which is why it took me forever to get it off) and since I bought the jeep I had issues with that headlight. I taped it tight and running the K-S harness.