Good work on the pictures.
Especially the PDC power wire and explanation. I think the directions intend for that power wire to be cut through, both ends stripped, slide the heat shrink over one end and the new wire, then twist, crimp and solder all 3 back together and heat shrink the new joint. Personally, I hate breaking a perfectly good conductor If I can help it and your solution with the liquid tape is a solid alternative.
I can't say for sure since my install with Jeepguy's Custom harnesses was slightly different but from reading the Official Kit's directions I 'believe' that you shouldn't have had to cut any wires at the back near the tailgate like that to change pins from male to female unless it is to extend those wires because of the modified bumper you have. If you are at the correct "body side tailgate connector", you should have had female pins.
Instead, the new chassis/Camera harness gets the original 2 female lock solenoid pins added to it at pins 7 & 8 (i550) which in turn plugs into that 6 inch tailgate extension, which goes to the bottom connector of the tailgate/harness.
Honestly, I never realized the extension was there at all since it and the main tailgate harness were already in my truck's tailgate (likely because of the existing power tailgate lock). If I may ask, what is your Trim Level and vin to hunt for your Tech Authority schematics? (maybe its a 2014 thing or the factory messed up the harness and the extension was their fix).
The i550 connector should be one end of that extension and should have been originally secured at one end near the spare tire. I would imagine the purpose of the extension is to serve as a wear and tear item, taking the abuse of the tailgate opening and closing so that it is cheaper to replace that extension than the tailgate or chassis harness on either side.
It sounds like you will be able to get it all worked out, but I went ahead and pulled these pictures from Jeepguy's DIY Camera (Custom Harness) thread OP to show the location of i550 connector I am talking about with the 2 female lock solenoid pins from the existing chassis harness that must be moved to the new camera chassis harness' connector.
Hopefully it will help clarify the directions further.
I might be wrong, but that's my understanding since cptwing didn't mention having to do that with the same kit. I may have to go take a look under my truck again if I get up before the snow gets here today and double check. Hmm.
8/1/15 Edit: Added i550 tailgate extension note/picture.
1-27-16 EDIT:
Post 586 & 587 -
** i550 tailgate connector info links & disassembly pictures to help with moving the 2 lock wires **