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I agree with these statements, and I disagree with those.I find both of these reactions to be equally subversive. Whenever I find myself agreeing with something, I'm unwilling to poke around for holes in arguments or question the accuracy of facts presented. Similarly, whenever I disagree with something, I'm unwilling to concede the strong points of an argument or approach the problem from the presented perspective.
To minimize the effects of these emotional reactions, it helps making my judgments as granual as possible. (Don't judge the person: judge each individual action separately. Don't judge actions, judge consequence and intention separately, etc.)
Furthermore, to minimize the polarizing effects of true-false dichotomies, I instead assign ratings (1-6) for a statement's probability of being true.
For opening myself to contradicting world views, it helps to ask what would have to change in the world for this statement to be true?. Instead of forward-reasoning, where you admit your world view and reason forwards to correct conclusions, this mental trick fixes the conclusion and makes you reason backwards towards hypothetical worlds and asks you to identify their properties. It's then easier to diff your view against the proposed worlds and shift your beliefs accordingly.