Does the joystick part of the arcade stick map to the Dpad or the joystick on the standard gamepad? IE: If I wanted to use it for say, Tokyo Xtreme Racer or Sonic Adventure, which only does steering and movement through the joystick and not the Dpad on the controller, would I be able to use the arcade stick to play the game? Or is the arcade stick basically only good for fighting games?

I don't have one to test, myself.

And what is the pricing for the official ones? (with the green joystick and buttons) I see them listed for $80 and $90 sometimes, but never see them sell. Could I ever expect to find one for maybe $20 or $30?