The talking wooden idols are from the Polynesian-themed Disneyland attraction the Enchanted Tiki Room.
A sign is briefly visible which reads "Kapu," which can be translated to mean "keep out." The same word is on a sign on Lilo's bedroom door in Lilo & Stitch (2002).
The song playing while Mickey, Donald and Goofy are "hunting" for the island spirit is 'Hawaiian War Chant' by Prince Leleiohoku.
This episode has an extended seven-minute running time.