I thought it would be illegal to do to an alligator as well but I was wrong. We just wont tell PETA.
The American alligator is federally classified as “threatened due to similarity of appearance” to other endangered and threatened crocodilians. This provides federal protection for alligators but allows state-approved management and control programs. Alligators can be legally taken only by individuals with proper licenses or permits. Florida, Louisiana, Georgia, South Carolina, and Texas have problem or nuisance alligator control programs that allow permitted hunters to kill or facilitate the removal of nuisance alligators. Other states use state wildlife officials to remove problem animals.