Talk to Lathain Valtiel and/or Vagabond (aka Nomad).
They both have at one time (or still do) use joystick setups to play the JK series. Think rudder pedals and dual flight sticks!
It's possible with training, though most use keyboard and mouse combo.
Remember Jedi Outcast was ported to Xbox and Gamecube, just as Jedi Academy was ported to Xbox, so some players have little choice in what controls they use.
The gamepads I have wouldn't really be adequate to play JK2, as they're Gravis Xterminator pads (more suited to old school arcade and console games).