I've been constantly forgetting to make this point, but this thread is a good place to say it. My view is that most disagreements - even the most bitter - are not a matter of one side or the other being "reasonable" or "unreasonable" or even "logical" or "illogical."
My view is that it is the *starting point* or the *premise* of a person's position that is the issue, not whether the person is rigorously following "reason" or "logic" in analyzing that position.
For example, a Christian who thinks that loving Jesus will bring him eternal life is being eminently reasonable and logical, in both his view AND my view.
The problem isn't that the Christian is being unreasonable based on his facts, but that his facts are totally inconsistent with reality based on observation of the senses.
So arguing with someone about them being illogical or unreasonable rarely gets you anywhere. It's a person's core premises and core values that determine where most people end up, not their degree of use of "reason" or "logic."