I read a book about one of the early Alaska expeditions. They followed a river inland for months and had only rabbit to eat. They cooked the rabbit native style, removed the intestines and burnt the hair off over the fire then consumed the whole thing, hide and guts included in order to avoid rabbit starvation. So I guess if you eat enough parts there is enough fat to keep you going. The natives managed to survive somehow.
I would have just went and got a Whopper after nibbling on the actual rabbit meat.
Problem solved.