Western thought, indeed. I don't dispute that it is the attitude of a rational God, a God who created us all equally and with inherent dignity as persons (and thus with certain rights that no other humans can take away), and gave us all an internal sense of justice. It is on this basis that the great thinkers, beginning 800 years ago, started pushing monarchs to protect inherent rights to life and liberty.
The issue these folks can't seem to understand is that, much as our social mores are developed from Judeo-Christian beliefs, our government is rooted in secular, legal principles. The Constitution no more endorses Christianity than the New Testament endorses Republicans; they share basics, but correlation does not mean causation.