Something about this statement makes me uncomfortable... maybe it's a sacred cow!
No True Scotsman?
This is potentially disingenuous, because how do we know what others have already looked into? My wife accused me of not liking anything new, when I didn't like country music. She didn't seem to acknowledge that I had heard country music
before I met her. It's not like it was "new" to me and I was being closed-minded. In fact, I've enjoyed some newer country tunes (think Big n' Rich

).
Most of us don't have the time in life to examine everything, and again, perhaps we've already examined some things.
On the whole, I don't get flipped out about others' religious beliefs. In fact, in general, it doesn't even come up in conversation. What I am interested in thinking about is when someone tries to convince me that their point-of-view is correct.
As Dilbert once glibly asked (at the expense of a good date): "Since when is ignorance a point-of-view?"
I think you'll find both dogmatic and liberal-minded skeptics here. In fact, I think you'll notice both patterns of thought in the same individual on different days, in different moods and on different issues.
It is just as much a mistake to say that JREF skeptics are closed-minded and cynical as you seem to think it is for JREFfers to say that they are always perfectly rational.