You've proven the Rabbi's point: The definition of "secularization" is that the actions come to resemble non-religious, rather than religious. Regardless of the nominal religious status.
The heart of secularization is this example from Pennsylvania vs. Casey, 1993:
""At the heart of liberty is the right to define ones own concept of existence, of meaning, of the universe, and of the mystery of human life. Beliefs about these matters could not define the attributes of personhood were they formed under compulsion of the State.""
I'm hearing bagpipes on that one
But by that definition of "secularization" Christians are more secular than Atheist