There is no need to ponder "what if" scenarios. I have pointed to a specific example several times:
Proposition 8, where voters resoundingly voted against the leftist darling of "Homosexual Marriage" and we see a Judge declare the voters irrational because he feels that "Religious Belief" premised their votes.
I do not see Libertarians too concerned about this declaration of "irrational" -do you?
I know a judge ruled against the amendment, and I disagree with the assesment. I don't recall the judge saying it was "irrational", but I'm willing to look at whatever content you have from the decision that says it's irrational.
As far as specific applications, you said earlier
"What I was getting at was that religion (any religion) is just as valid a premise for inclusion in public discourse as any rationally deduced 'fact'."
From that premise, what's your take on the situation in Minnesota, where a judge ruled against an initiative to ban the courts from using Sharia law as a consideration in their decisions?