First of all, thanks for the constructive argument!
What sort of tests can you think of that differentiate well between people who are thoroughly biased and people who used evidence?
One that I have thought of long ago is asking the basic question of rationality, "Why do you believe what you believe." The result can be seen here: http://lesswrong.com/lw/5kz/the_5second_level/4c68 and here: http://lesswrong.com/lw/1ww/undiscriminating_skepticism/4c63
Needless to say, both questions were also ignored.
I don't know what other tests could be performed, considering that the people in question are apparently not willing to participate in any.
Well, that's still the "confronting" test. Given that people answered "because of the other evidence" in various places, either you're wrong about people deciding irrationally, or people are rationalizing a lot (which would make it a non-discriminating test). What sort of test would discriminate between a rational-ish person and someone who originally chose because of some bias ("bias X") and then rationalized, without requiring examination of the annotated bibliography of all the evidence someone ever considered ever?
People who go back and downvote every post or comment a Less Wrong user has ever made, please, stop doing that. It's a clever way to pull information cascades in your direction but it is clearly an abuse of the content filtering system. It's also highly dishonorable. If you truly must use such tactics then downvoting a few of your enemy's top level posts is much less evil; your enemy loses the karma and takes the hint without your severely biasing the public perception of Less Wrong's discourse.
(I just lost over 200 karma in a few minutes and that'll probably continue for awhile. This happens to me every few weeks. Edit: I mean it's been happening every few weeks for a few months for a total of only three or four. Between 400 and 700 karma lost total I think? I don't mean to overstate the problem.)