i,ve never looked at a hayabusa bike up close & also don,t know which direction the lever is originally, but try this.
if you have the lever (if not then a pair of mole grips, don,t damage the splines on the shaft tho),
try the lever pointing to back of the engine, put down into first, then just try going up thru the gears, if they select ok then thats the way, if not, try it with the lever pointing forwards & try again,
it all depends on the original setup of the linkage, tho don,t worry too much as its easy to swap the lever position, in the racing "world" some riders liked to have the gear selection as 1 up & 5 down ( it means its easier to change gear when leaning right over in mid corner, as creates more ground clearance), but this is all done just by putting the lever either way on the shaft, no need to alter anything internal on the gearbox,
i hope this makes sense
, its easier to explain with the engine in front of me/you.
basically you can,t get it wrong once you know the correct position of the lever.
if making up a linkage for a BEC then fabricate it so that the direction of change can be altered, either a pull or push on the gear shaft, even the driver of the car can decide which is preferred then, as in the cockpit of the car you can have gear stick going forward for changing up or vice versa.
i hope thats not as clear as mud?
andy