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Being *broadly* open-minded might require an atypical relationship with the uck-no-WRONG-warp feeling that can accompany a reasonably well-developed concept that you strongly disagree with. It might be more of an aesthetic shift, or, like... mental model sadomasochism
I've found it helps to try to develop a probablistic lens for the things you believe, where each basic axiom has some probability of being false. This allows you to run mental napkin math and develop a *spread* of beliefs. (It will also make your brain overheat. Stay hydrated.)
The test of a first rate intelligence is the ability to hold two opposed ideas in mind at the same time and still retain the ability to function (F. Scott Fitzgerald) 
That's a good way to put it. I think it also helps if you see open-mindedness as more cherished part of your identity than most/all of your other beliefs and principles. Refusal to consider an idea becomes scarier than any one idea in particular.
People vary considerably wrt propensity towards that feeling/reaction in the first place. The most open-minded people rarely experience it.
Open-mindedness is by definition deferring judgment and the reaction you describe is essentially pre-judging/prejudice
I assumed that once I had shaken my super religious upbringing off, new ideas would become easier and easier to accept. They never have. It's always hard and upsetting. But it's better than stagnating.
The Hanson Effect? When propositions ring of both descriptive truth and wrongthink, a certain kind of thinker senses potential for overlooked insight within, while a whams will sense discord, betrayal, or the potential for ostracism.
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