Joystick Question w/ 360

My question is I have the Hori Tekken 5 stick for the PS2 and I was wondering how to make it adaptable with my X-Box 360. I have a PS2 -> USB adapter that I use for my computer currently, would that work? Any help would be appreciated, thanks in advance.

EDIT: Title change.


Hey, you have the parts, go try it.

And then go read the converter thread.