If your goal is to improve the world and the people with whom you are talking are a bunch of feminists getting them on the issue of them judging people is more likely to reach them then getting them on the issue of them not being in line with scientific evidence.
Also if you really believe that the frame of science is more useful for either of those goals where are your numbers. Where are the people that you studied who hold that belief that are more effective at discovering the truth and/or improving the world?
If you don't have those numbers because nobody really cares about using the scientific method to validate that belief, you have to choices:
You can't really argue that science is the best frame for improving the world and than hold that belief based on nonscientific reasoning that's backed up by zero data.
It should be possible to find a metric for whether someone uses science as his primary frame and possible to find a way to measure whether an individual improves the world. At least if you do believe in the scientific project than it should be possible to measure such things. If you don't think they are measurable, there goes your scientific method for finding out the truth.
Paper by the Cultural Cognition Project: The culturally polarizing effect of the "anti-science trope" on vaccine risk perceptions
This is a great paper (indeed, I think many at LW would find the whole site enjoyable). I'll try to summarize it here.
Background: The pro/anti vaccine debate has been hot recently. Many pro-vaccine people often say, "The science is strong, the benefits are obvious, the risks are negligible; if you're anti-vaccine then you're anti-science".
Methods: They showed experimental subjects an article basically saying the above.
Results: When reading such an article, a large number of people did not trust vaccines more, but rather, trusted the American Academy of Pediatrics less.
My thoughts: I will strive to avoid labeling anybody as being "anti-science" or "simply or willfully ignorant of current research", etc., even when speaking of hypothetical 3rd parties on my facebook wall. This holds for evolution, global warming, vaccines, etc.
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Also included in the article: references to other research that shows that evolution and global warming debates have already polarized people into distrusting scientists, and evidence that people are not yet polarized over the vaccine issue.
If you intend to read the article yourself: I found it difficult to understand how the authors divided participants into the 4 quadrants (α, ß, etc.) I will quote my friend, who explained it for me:
I was helped by following the link to where they first introduce that model.
The people in the top left (α) worry about risks to public safety, such as global warming. The people in the bottom right (δ) worry about socially deviant behaviors, such as could be caused by the legalization of marijuana.
People in the top right (β) worry about both public safety risks and deviant behaviors, and people in the bottom left (γ) don't really worry about either.