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Manfred comments on Global warming is a better test of irrationality that theism - Less Wrong
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I don't have the knowledge of climatology to make a reasoned claim about AGW myself one way or another. Whether I believe or disbelieve in AGW, it would therefore currently have to be completely done based on trusting the positions of other people. Which are indeed Bayesian evidence, but "mistrusting the current climatological elite" even if someone places a wrong prior on how likely said climatological elite is to manufacture/misinterpret data, is not remotely similar to the same sort of logical hoops that your average theist has to go through to explain and excuse the presence of evil in the world, the silence of the gods, the lack of material evidence, archaelogical and geological discrepancies with their holy texts etc, etc, etc.
So your test isn't remotely as good. It effectively tests just one thing: one's prior on how likely climatologists are to lie or misinterpret data.
People don't start out with a high/low claimed prior on lying climatologists and then decide to start arguing about global warming on the internet - it's vice versa, in most cases. The end result tells you about this whole causal history, which includes a fair bit of irrationality along the way.
Of course, where the causal chain terminates is often in stuff like "my parents had political view X," which we don't particularly want to learn about, and thus has to be controlled for if we want to learn about the intermediate irrationality.