The CIA show up after a few days and release a 6000 word article on the fact that rabbits don't exist.
The FBI show up with a dead rabbit and say in a press release "The rabbit had it coming."
The KGB show up with a bruised and beaten bear. The bear is forced to make a statement "I am a rabbit, my father was a rabbit, and my mother is a rabbit. My whole family are rabbits!" the bear disappears shortly after...