I have no idea what that 8 way actuator is, but your 2nd link reaffirms what I just said.
anyway, there are no 8 way digital inputs, only 4 way,
and you get diagonal input when u hit 2 directions at once.
also for that price, I am sure that stick is digital and therefore cannot be modded with the p360.
actually, I do not even know how to make a custom stick with a p360 (do u wire it to the analog control??)
edit: ah, I think I kno what the diff between 8 and 4 way is.
4 way can only hit the up, down, left, or right switches.
8 way allows u to hit 2 switches at a time, thus registering diagonal inputs.
anyway, I think sanwa is the popular arcade part provider for custom sticks,
but my custom has happs parts, which I recommend the super or the competition stick (both 8-point)