Technically alligators in the sewer system - generations of kids got them as gifts in pet shops when they were REAL little - then generations of parents flushed them down the toilets as they started to grow. So the sewers are - urban legend-wise - crawling with gators.
But crocs are more fun as a name. And there is the Bronx Zoo and the Aquarium in Brooklyn at Coney Island.
As for JFK and womanizing, say what you like, Marilyn Monroe was a different league altogether than Monica Lewinsky.