I agree with Gary and Sally about the tourist draw and letting them have a place on the island. They are a part of our eco system.
Let them alone. We do however need ACES or some folks like them to help with the occasional problem croc or croc in trouble.
Balance of Nature sort of thing they have a place here and if we eliminate them the balance is off.
Florida makes big bucks with alligators.
Makes the golf course more interesting also.