Dreamcast controller (Mad Catz) hacking

I just received a Dreamcast Dreampad in the mail and began hacking. I’ve got the directions, 6 digital buttons, and ground wired up but I was having a problem. When I got to a menu (either the Dreamcast home menu or a game menu) none of the buttons or directions worked (except down). If I unplugged and replugged the controller everything worked fine afterwards. In trying to fit the PCB into a case the little pots for the triggers and analog stick came off, and now everything is haywire.

How do I neutralize the analog pots?

I managed to take apart one of the pots, it’s got three pins and on the inside the outer two pins are connected by a horseshoe-shaped trace, with the inner pin connected to a ring-shaped trace inside the horseshoe.