Merriam-Websters’ first definition of religion is “Worship of God or the supernatural.” That certainly is not the defining attribute of the Jewish People. Otherwise we’d have a lot more in common with members of other religions that with some of our own brethren. And that certainly is not the case.
yichusdik, your pshetl of mamleches kohanim vegoy kodosh in fact support my earlier point that the greatest common attribute of the Jewish People is our nationhood.