I've only skimmed the previous replies in this thread, but as a Floridian I'm completely aware regarding the dangers of alligators. Sadly, so very sadly, this is not something new to those of us who live here near water. I remember all too clearly an incident that happened 23 years ago
http://articles.latimes.com/1993-06-23/news/mn-6300_1_recent-years .
In my humble opinion... and it distresses me to say this... I feel Disney did not do enough to protect this family and their child. They openly encourage all types of water activity including canoes, kayaks, fishing, boat rentals, parasailing, small watercraft rental, wake boarding and water skiing to name just a few. Yet, these recreational activities take place on the same alligator-prone waters. As a parent, a "no swimming" sign is not the same as "don't go near the water at all... do not enter the water.. not even a little bit". To me, I agree with this definition of swimming:
A hotel only a few miles from Disney has this type of sign shown below. Perhaps something similar could have saved this young child's life.