Wow Shane! Guitar Player Island! I think Manhattan already has that title so technically I am already here. 10 tools ok.
1)screwdriver set with a very long phillips head for tremelo claws and strap pins
2)allen wrenches metric and as my friend said "anti-semetric" (as a jew I feel comfortable with this joke hope I have not offended anyone)
3)needle nose locking pliers, this would replace all my socket wrenches and such as I can only bring 10 tools.
4) drill and a string winder attachment
5) glue, titebond, and super glues and the accessories
6) 10" mill bastard file
7) stewmac diamond offset fret file
8) 18" bar clamp
9)fretting hammer
10) dremel and accessories
I hope that helps Shane, let me know if you were thinking
of more luthier specific tools ie. bridge plate cauls etc.
my 2 joke answers are
1) Radio Shack mini butane blow torch, the islanders will revere me as a god and eventually I will trade fire for their poofy hair 80's women in spandex (it is guitar palyer island after all)
2) a car door, in case it gets hot I can roll down the window
)