Good questions @paul.b.rimmer, especially because they reveal some practical questions you are working through.
Here is the starting point of my thoughts:
How We Engage Matters
Your question was if we should or not. The question, as I see it, is very different. We should engage, but only in effective ways. Engaging in ways that reinforce the problem should be avoided. Engaging in ways that open new ways forward should be done where-ever and whenever we can.
Take a Trust Building Approach, Rather Than Knowledge Deficit
There is an immense amount of work done on how to do effective public engagement on science. I encourage you to look some of it up.
We’ve been putting this into practice here. This is one reason that many scientists engage deeply at PS. Here are some examples that some have considered effective public engagement.
See here too: Behe and Swamidass: Texas A&M on Feb 20, 2020. @art had some comments here I’d hope he would share.
Don’t Call Them Pseudoscience
We should not call ID and YEC “pseudoscience”, even if you are convinced its true, for four reasons.
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Some of their claims are not pseudoscience. Calling a whole movement “pseudoscience” paints with too broad a brush because some of their claims are often legitimate. Some of their hypotheses are worth testing. It is better to use higher granularity in discussing their claims and actions.
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They will never accept the term "pseudoscience for themselves, but they will accept other terms. For example, most will agree that “the vast majority of scientists disagree with them” and that “they are outside the mainstream view” in science. That is a critical concession that they will agree to and we want them to say to their base.
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Using the term “pseudoscience” reinforces their persecution narrative (which is critical for their survival) and supporting their goals it destroys trust with their base. In the end, being right is just not enough. You also have to be trusted. That is why these groups make trust-oriented arguments all the time, and why they are so difficult for more fact-oriented groups to engage.
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There are better alternatives. In addition to “outside mainstream science,” in focused cases, where you can justify it, it is also valid to call it “bad science” or based on bad information, etc. @jammycakes’s work here is really good.
Relationships with Thought Leaders Matter
With McDowell, see how my relationship developed with him:
And now he is deeply motivated to understand where I am coming from and and to put me in dialogue with ID.
@Nlents, also, has dug deep, attending several events with leaders in ID and OEC. His comments, I am sure, will be helpful too.
So Engage, Rightly
So, in summary, you should certainly engage. Just do it the right way. One reason PS exists is to serve as a community of practice where you can learn how to do just this.