Alright, I've done a few reskins in the past, and I thought I had the hang of it. This was my first attempt with a character skin, and I treated it just like a creature reskin. I searched through every .MPQ and I'm pretty sure I found all the files I need to modify. I changed all the .BLP's and put it in as patch-6.MPQ.
Here's a picture. On the left is the in-game screenshot, and on the right is a model-viewer screenshot of the exact same extra patch. On the bottom is the list of the files I modified in MyWarcraftStudio.
If anyone could tell my what I missed, or what I'm doing wrong, that would be greatly appreciated, and I'll toss you some +Rep.