> trans rights. These are entirely imported issues from US religious hangups.
No, in the UK it was left-wing feminists who led the opposition to gender identity policies long before any conservatives got involved, on the basis of this being harmful to women's rights.
Just look at the recent For Women Scotland win in the Supreme Court, it's nothing to do with US religious groups at all, and everything to do with protecting sex-based rights and sexual orientation in law.
That was waaaay after it had become an 'issue' in the US and exported. I also doubt they would describe themselves as "left-wing feminists". That language is incorrect at best and inflammatory at worst.
In 2014, Time magazine declared trans rights as "America's next civil rights frontier" [1]. For Women Scotland was formed in 2018 [2].
(Just looked at your comment history. Just, wow... is the trans issue the only one you care about?)
[1] https://time.com/135480/transgender-tipping-point/
[2] https://forwomen.scot/about/