Burmese pythons have an established permanent breeding population in South Florida and belong to the “new” apex predators of the Everglades today. Top predators like the american crocodiles and american alligators prey regularly on all kinds of reptiles, including pythons.
An adult alligator will have little trouble to overpower, kill and eat any juvenile and in some cases even an adult constrictor. Nevertheless, a fully grown Burmese Python can reach over twenty feet in lengths and becomes extremely dangerous prey item for most crocodilians including the American Alligator.
These large constrictors have not much to fear and will feed on most animals they come across (including alligators) when hungry. Python vs Alligator was filmed by Heiko Kiera aka Ojatro near the Everglades in 2009.