Have a look @ TIE-Fighters read.me, this game won't support coolie hats :> and the throttle can just be activated with the x-wing throttle patch (don't now it's original name anymore, but it was no official patch).
The other thing with the coolie-hat functioning as button 2 can be solved by editing joy3.map. Edit the axis that is set to "T" to set it to "Z" or "P" :> that should work, also you can enable all 6 buttons, just by adding some extra lines for buttons ... should be self-explaining how it works, just take a look @ the map-file...
P.S.:
I played TIE-Fighter a (long) time ago too with coolie hat support, but i got the hat working, with a program to set Keyboard-Strokes to the Hat-Buttons... if I remember well, this program was part of the Logitech Setup CD... mb you find what i mean 😀