it's a bit of a 'how long is a piece of string' question. In 2012 we were in EPCOT after going through immigration, on DME, checking in at the Beach Club, getting changed and walking over - within 2 hours of landing. Previous year staying at AKL it took over 2 1/2 hours to go through immigration and we were only at AKL about 4 hours after landing. Good luck