Because that will make them extinct.
...
Alligators are no longer a threatened species. They are still protected because it means more government. They should be eradicated in some areas.
And don’t get me started on the Florida panther, which biologically doesn’t exist.
I am not as concerned about alligators as I am about pythons introduced in Florida. Why? Because gators rarely if ever come out of the pond and attack humans. Whereas pythons have no natural enemy in Florida, they are multiplying fast, and they invade backyards of people, killing pets and children.