Re the comparison with religion, I've touched a little on this with reference to extremism in my post at 8.01am here:
https://www.mumsnet.com/talk/womens_rights/5185250-lgb-alliance-conference-disrupted-by-tras?page=23
Its a lengthy post so I won't repeat it.
But the observation is about the concept of 'sacred beliefs'.
The use of the word sacred immediately lends you to thinking about religion but the concept is applicable to all ideas of morality regardless of the presence of faith. It is a effect a social article of faith in terms of what your absoluete priority in life is. Your hill to die on so to speak.
The observation with studies on this, is that extremist behaviour is more likely to occur in close knit closed communities and that people are more likely to act against their own self interest, no matter the cost or consequence, when it comes to a sacred belief.
In the case of a mother, this might be the instinct to protect her child (and this might also help to explain why MN is so at odds with other places online); "humans don’t deliberate about their sacred values: We just act on them.”
So logic and reason are not a great counter weight to emotion and belief. You have to make appeals to emotion on a different level.
The article I reference on that thread has a comment of what researchers came to in conclusion:
“The lesson … is don’t try to undermine their values,” Atran says. “Try to show them there are other ways of committing to their values.”
I think this is a really important observation. For those trying hardest to push trans militancy the greatest thread comes from those trying to show an alternative path whilst being accepting of difference.
That leaves the Cass Review and the LGB Alliance as noteable conflict points - both are trying this line in different ways. Saying you don't have to change pronouns or undergo medicalisation to be accepted for who you are and you can just wear a dress if you are male or you can do 'boys activities', then is seen through the lens of being radical and at odds with the sacred value that it is possible to not only change gender but sex.
It also explains why suggestions of a third way, often go down like a cup of cold sick. The more rational dogooder allies will eventually get to this place as a 'reasonable compromise' and are somewhat bewildered when gender skeptics aren't necessarily adverse to this concept. And are even more bewildered when this just isn't acceptable to the more militant trans activists.
The whole 'Be Kind' ethos is seeped in being a social version of a non-religious morality which is a 'sacred value'. Which is also why even the most rational often 'just do it' without thinking about what they are doing and the impact of it. As said above: "humans don’t deliberate about their sacred values: We just act on them.”