Wait, I'm confused now, so I'm gonna lay this out how I understand it and you can help me clear this up.

Secular: denoting attitudes, activities, or other things that have no religious or spiritual basis.

Non Secular: relating to or involving religious or spiritual matters.

Ergo, being secular is how our country is suppose to be despite certain elements trying to inject their religious fundamentalism into it. Hell, the slogan "In God We Trust" wasn't even used by us until the 1950's. Up until that point all our national slogan was, "E pluribus unum" or
"From many, one."

Your comment implies a secular state doesn't have to answer to logic when it's non-secular states that believe that. It's called Divine Right, or Manifest destiny.