So I've done it again. Asked a question then not waited for a response and figured stuff out on my own. I decided that for the time being I would knock the pots over, glue them to keep them from rotating and if I got an answer that I could remove them that I would do so at a later time. Unfortunately, somewhere in the process of knocking them over I screwed something up. I was getting some crazy results so I decided it would be a good time to do some testing.
I removed a pot and checked the resistance from the center terminal to the side ones carefully adjusting the pot to get it centered. I came up with a resistance of 5.5k-Ohm. Closest thing I've got to that is 4.7k but I decided to give it a try anyway. I did a quick test with uncut resistors dangling off the board and the results looked promising. The controller test program showed the two axis of the thumbstick I was working on as dead center on one and at 250 or something out of 32,000 in one direction which is pretty much dead center seeing as though the dead zone on an XBOX controller (according to the test program) is 8,000 or something ridiculous like that.
Attached is a picture of how I put it together before I put the heat shrink over the resistor pairs. Unfortunately I ran out of 4.7ks so I'll have to finish another day.