Opened up a Hori Dead or Alive 4 stick for Xbox 360 (Japanese Joystick Question)

[PacManess]

Hello,

I bought a DoA4 Joystick for the Xbox 360 in hopes that I could just slap in my leaf switch 4 way Pac-Man stick for some true retro action...but it was not to be. The stick in the controller had a really short, tiny base but otherwise seemed to be wired like an "American" stick.

I was wondering what the best way to replace this stick with a four way would be. Should I somehow substitute the four way stick into the smaller bracket or do they sell sticks like this online somewhere?

So yeah, Japanese Joysticks...what's the deal? Did I miss something somewhere?

Thanks for any help you can provide.