Just listened to this song again, and I think I figured out why it resonates with me, even though it may be far from perfect as a "folk anthem" (and, I say again, that is no crime).There are many folksongs that proclaim the message: "The people in power and the people in pain are all in the same boat (or whatever)" and/or the message that "With love we will outlast our troubles."
But this is the only song I can think of that specifically includes all beings, not just human beings, in that circle.