Alright so I played around with a voltmeter trying to figure out what those inside wires are. I'm stupid or something, I couldn't figure it out for sure but the light is definitely not 12v so ignore that.
I did how ever just hook up the controller outside in the back next to the compressor. Pics below in case someone else needs guidance.
First in the back left you'll see a box with wires going in it like this. Ignore the blue wire sticking out, I only halfway put it back on to take the picture. You'll take those two screws out of either side and unclip the back to free the wires within.
Once you get that off you'll see basically the first wiring diagram I attached earlier. There are two main bundles of wires, one from the wall and one to the compressor. From the wall is green (ground), white (neutral), and black(hot). Black goes straight into the back of the fridge, white goes into a cap and splits, one to the compressor and one to the back of the fridge, and green goes everywhere. To the compressor you'll have one of the white wires and a blue wire that comes out of the fridge.
You'll want to cut the wires that go into the fridge, 1 black, 1 blue, and 1 white. After you do the wiring should look like this.

I left the green going into the fridge because we don't need to tie into it and it never hurts to leave it grounded up there.
Now if you have a Love controller (which is what I used here) you'll need to make a short jumper about 1" or so, use black wire if you can because its a hot wire.
juvinious wrote up stc-1000 instructions.
Into ports 1 and 2 put the two ends from the temp probe. I don't think it matters which is which. Into port 7 put the white wire. Into port 8 gets the black wire from the wall AND one end of the 1" jumper you made. Into port 10 goes the other end of the jumper and into port 11 goes the blue wire. We skipped 9, we don't need it for this.
Note before doing this its easier to put the wires from the temp probe from the inside of the fridge through the drain to the outside, so you'll want to do that before hooking it up.
As for where to mount this bad boy, I'm trying to figure that out right now. I don't really want it visible so I want to find someplace underneath here to attach it, but I also don't want it to put holes in the fridge to mount a box. I might just glue it on someplace. I'm also thinking I should plug that drain hole. I don't want condensation to get a bead of water rolling down the temp probe and onto the controller...