But I am trying to engage with the actual debate.
It all depends where you start from.
Yes, what the pro-religious/superstitious say makes perfect sense if you start from the assumption that the religious/superstitious are automatically entitled to this voice in policy-making decisions on the basis of their being religious/superstitious.
However, the moment question the terms on which this assumption is made, and actually want to look at alternative evidence and actually have a debate about this initial assumption, it becomes far less "obvious" that this entitlement is there.
Another reason the literature analogy doesn't work, by the way, is that it's all about whether we should study literature in the curriculum based on the relative qualities of different writers. But I have never said we should not have religion in the curriculum. That's a separate issue totally - I'm very much in favour of systems of mythology being studied - as an insight into human thought, behaviour and culture (and, apart from anything else, the power of the human imagination to create such things).