You might have to go into the game, in the Setup section, then Joystick, then Select Joystick, and map your other hats to specific inputs. Although AH does a pretty good job assigning things to start with from a fresh install, when you switch sticks you may have to go in and map some things again, especially with the fancier sticks that have lots of things on 'em.
Here's where you do that:
First fire up the game, then select Offline, then ---> Clipboard | Setup | Joystick | Select Joystick
Now pick your stick or throttle device, then pick a control to map on the left and the button/switch/thing from the joystick on the right and press the Set Input button.
That should do it.
