And I guess you can argue that some do not recognize universal rights, but it's not a compelling argument to just point out what some people think.
What is it in human nature that concretely and morally entails our having rights? the faculty of reason and its crucial role in human life, as long as we are free to act according to our thoughts. No faith involved, no mysticism required.
[added] The Founding Fathers did not create a theocracy. I don't see what point you are trying to make -- the concept of natural rights does not require a god, and it is irrelevant whether some person invoked deism or not. The fact is that we are all born with inalienable rights by virtue of our nature, what we are and how we ought to live together.
The Greeks may have had a concept of natural rights separate from their being endowed by a Creator, but that is not the same concept of natural rights that John Locke proposed and which inspired the American Founding Fathers, leading to posts from Americans like the one we see above. Advocacy for that school repeatedly cites the existence of a Creator.
That school of thought dates from the 18th century when thinkers appealed to a Creator who endowed those rights (even if it was a rather aloof Deist conception of God). However, in the following century it faced strong competition from the utilitarian school that suggests that rights are only a convenient fiction that society recognizes for the common good. Plus, these days ever more people do not believe in any particular Creator who could have endowed anyone with rights.
Human ethics, metaethics and politics is definitely nowhere near "laws of physics" settled and agreed on.