68A-25.002 General Provisions for Taking, Possession and Sale of Reptiles.
(1) No person shall buy, sell, take, possess, transport, or import any American alligator, or any part thereof, or
the nests or eggs of any American alligator except under permit from the executive director, as otherwise
provided by this Title
Sounds illegal to me, I'd say a large fine would accompany a US Fish and Wildlife visit.