Just a heads up...
If you restrict an analog too much, it will not work very well. It may not calibrate at
all in windows.. and even if you can get it to calibrate, Mame may not like the values,
and will not recognize or control well with it. I know this from my own experiments.
Affixing it to an 8 way may work ok.. but, you must be careful as to which
stick you choose. For one, because the stick is much taller than a typical
joy, the "throw" (distance the stick travels until it activates a switch) will
be HUGE. Very clumsy and slow. You will need to find a stick that has
a very tight throw.
Also, you would need a stick that is very durable, because the forces of
the tall heavy stick will cause much more stresses. The weight alone
may cause the stick to not center well.. and act too 'loose'. (needing a heavier
spring to resolve that). The added leverage you get from the height, may
cause too much stress on the base, and cause it to bend, warp, and maybe
even crack apart.
If you study true arcade trigger sticks, you can see that they have
heavy duty bumpers as well. These monster rubber bumpers help
to keep your hard forces from tearing the base to pieces when the
shaft slams into it repeatedly.
The shaft on the analog joys is cheap plastic, and usually is what
causes the cheap feel as it flexes under stresses. You may try
to replace it with a hollow nut driver tube.. or similar.
In the end, it may be easier to find a used 8way trigger stick off
ebay. At least you will know it will control correctly, and last damn
near forever.