I can't see that it's even any form of syllogism. It's simply a statement, and an incorrect one at that unless you very vaguely define "higher power."
The very concept of rights is also founded in religion.
Since the enlightened person is freed from any superstitions about some "God," they are free from having to worry about "rights." Only raw power counts and humans are just meat puppets for the powerful...
Morality is an esoteric ideal, no more real than those hobgoblins that seem to appear before us in a dream.
Returning to Plato's Euthyphro, Socrates advanced the argument that piety to the gods is impossible if the gods all want different things...
Morality is impossible, because all humans have different morals... Claims of morality is sophistry without some higher power defining what it is.
Morality and all of its associated ideals are rooted entirely in the presupposition some higher power defines what is correct for human behavior.