I came up with "gender ideology" for myself in a post a few years ago as the best word to describe the wider system of thinking based on the belief in and primacy of gender identity. I only found out quite recently the same phrase had a history of being used to mean something quite different. Since then I've tended to use "genderism" instead.
I'd guess that's common for quite a lot of the GC "movement" - a genuine grassroots movement where individuals are independently coming up with similar concerns, asking similiar questions , coming to similar conclusions and looking around to see if anyone else is thinking the same things.
Think ink blots starting separately, getting bigger and joining up.
Completely different to the TRA movement which been characterised by outreach activists targetting education, politics, law etc to "educate" people into a specific set of beliefs and worldview that they would not have independently arrived at.