The premise "faith is not an intellectual stance on anything" is plainly false.
Religious beliefs contain propositional content (some examples might be "God exists," or "Jesus Christ rose from the dead on the 3rd day"). These propositions must be understood intellectually in order to be believed or rejected. Therefore, faith necessarily involves an intellectual stance.
And that's a pretty basic error. Anyone who wrote something like that should be feeling pretty dumb about it.
But even if, for the sake of argument, we accept your premise that "faith is not an intellectual stance," the conclusion in your bottom caption doesn't follow logically from that premise anyway.
The reason? "Not an intellectual stance" isn't the same as an "anti-intellectual stance."
If your premise were that faith was "anti-intellectual," then you could use that premise to come to the conclusion that the opposing position could be called intellectual by default. But that wasn't your premise. You claimed, "faith isn't an intellectual stance." And a "non-intellectual stance" doesn't necessarily have an intellectual stake at all. Therefore, that doesn't give us the necessary conclusion you claim about the opposing position to it.