No, I have a problem with your correction. It is not the Constitution's job to define true religion. It is the Constitution's job to recognize the country's tradition and culture.
DO agree with your response to my correction .But disagree
with your comments about the Constitution having the "job" to recognize,(bad choice of words--) as written document the Constitution is a product of the Tradition and culture
hence my post that "religion " was understood as defined
by Webster. It cannot assume human attributes as taking on "jobs" nor "recognition" It can only reflect the
traditions and culture at the time when written.