ya, its just like what nin said, just wire the switches to complete that circle. I made one for frets on fire out of a real guitar (and it was a real bi%^h) and after much work, I realized that the button I chose were too hard to push. I used "soft touch" button from radio shack, and they work great. I also took a toggle switch apart and jerry rigged it to a couple of micro switched for the strum button. I'll post some pics for ya later.
BTW, you are lucky to have used the controller that you did. I bought a brand new logitech wingman controller, and nowadays logitech has taken to coating their PC boards with some type of clearcoat which the solder will NOT stick to. I ended up throwing the thing away and using one of my old wingman rumblepads (which I hated to do, they are the best controller ever made) but they worked great, and they looked quite similar to yours. If you are decent with a soldering iron you should have no problems.