Speaking only for myself, I don't respect irrational beliefs though I do respect other people's rights to those beliefs. And I'll respond in kind if my lack of belief is attacked.
As you should.
Being a skeptic who's read "Why People Believe Weird Things" and "How We Believe", I realize that people rationalize their beliefs (even beliefs in God) in all sorts of funny ways. A lot of them think their reasoning is very logical and based on evidence.
Which would be incorrect.
We agree on that.