Sigma Raijin -> wired xbox 360 controller pcb

There was a guy building Dreamcast Jamma adapters in the marketplace recently. I was in contact with him about the possibility of making an adapter that essentially only took control inputs from the jamma connector on my Sigma Raijin so I could use my supergun as a DC controller (using a VGA box on the DC for video/audio output).

I was thinking that the same could be done, only taking control inputs on my supergun's jamma edge connector and connecting it to a modified wired 360 controller or box containing the controller pcb. I missed out on a 360 arcade stick I was going to purchase, but in thinking further, I would like to use my Raijin as a 360 controller/stick instead. How feasible would this be and if so, who could possibly make one?

Theoretically the controller inputs could be taken straight from the jamma connector on my supergun, correct? I would much prefer this to wiring a pcb directly to the sticks/buttons inside my sigma.

Thanks a lot.