I think its still a bit early to say "Florida is developing a new kind of ice age igs"

but step by step maybe its that direction they are heading

If I had to make a prediction I would say they would get smaller (so that they can go underground to escape cold and heat themselfes quiker), their tails would decrease because they are now more of a ground dwellers then in their native homelands, their coloration would go darker so they can heat temselfes quicker and possibly they would develop a more wide food preference like becoming more omnivors because meat is more energetic and needs less processing then plant material. Or ho knows they could specialize in some food, like pine leafs eating iguanas