Iguanas are most likely native to Florida since they are native to Cuba( a few species).
There are even iguana fossils found in somme Florida shales.
If your affraid of Salmonella,then never eat ducks or duck eggs and hope that a duck wont poo in your pool while flying.
This hype about ,,invasive,,specie its political and has nothing to do with ecology.I think its just people that are manipulated by politicians to hate something so that it unites them,like hating immigrants or certain religious or semitic comunityes.
Funny its that the hate hits back as you can see these ,, rioters ecologists,, wreak havoc their own country land and do more harm than good because its politics not science at the base of their ideology.