That was my first thought, too. The video is too dark and grainy, and the creature moves too quickly, but to me it definitely looked like a fox. Or maybe a coyote. Do they have coyotes in Florida?
Yes coyotes are all over the place here, one of the reasons that my cats are only indoor kitties only. Just in my neighborhood alone I've seen bears, deer, wild pigs, coyotes, bob cats, armadillos, raccoons, possum, various snakes, wild turkeys, large cranes, vultures, red tail hawks, owls and there is even an eagle. While I've have never seen an alligator near my house, I understand from my neighbors that they do wander up the creek behind our houses on occasion. (We are only a few miles from a natural lake).
When we first moved here my husband wanted to take the fence down. Then I saw the bear (who got into my neighbors lanai and made a HUGE mess) and I was like NOPE, not happening. In fact, we're going to rebuild the fence and make sure it's stronger than it was before. We did that and it's saved us a lot of frustration, particularly from the wild pigs who have completely ripped up some of our neighbors yards.
Regarding the video though, the gait is kind of odd for a coyote. It could be a fox or raccoon? Just a really funny gait. It looked like it was almost running on it's two back legs.
Last, regarding that Komodo dragon chasing that lady in WolfEyes post - OMG that would terrify me.

