Pull the board, it's easier to figure everything out once the board is removed. One way or another, there should be some kind of connection made between two points. Regardless of how that connection is made, it can have cables run to it from a switch to complete the connection. The custom made 3/5th size arcade cabinet that I converted to a MAME cab started out like this, with one of these plug and play's wired to arcade controls.
Power connection was also hardwired. The original joystick assembly was retained (the white part) and a faux spinner was attached to it so the steering in Pole Position wouldn't have been lost. If I still had it I would send you the board but all that ended up being scrapped when I converted it.
EDIT: Forgot that I did shoot one quick video before I started to re-purpose the cabinet - http://www.youtube.com/watch?v=n-9_Jkl2aUo