As someone from Nebraska who has visited Disney World many times....alligators are honestly not on my mind while I'm there. Not even when I stayed at a section of a different resort (Port Orleans Riverside) that's called Alligator Bayou. It's just not an animal we have here (except at the zoo) so it just doesn't come into play. We have a LOT of lakes and streams in Nebraska.. And it's fairly natural to dip your toes in if you're near one.