What's interesting to me is that the evangelical churches in the UK, which you'd think are the equivalent of these big, political, evangelical churches in the US, are culturally so far removed.
They tend to attract a lot of young people due to lively services and music etc. They often have some conservative values such as no sex before marriage and some encourage women to take a more traditional role. However in my years of attending (although this is now 15-20 years ago) I never heard any politics discussed. The people I mixed with were if anything generally more left-leaning, and interested in following Jesus' example of looking out for vulnerable people in society. Many of the Christians I know are actively involved in things like refugee support charities, women's refuges and so on.
I have a Christian family member who moved to the US and eventually gave up on church there because they were all so extremely political. And so contrasting to what she had been brought up with and been used to in UK churches her whole life.
In terms of women's rights, I definitely don't think the typical Christian view here is as regressive as in the US. I'm not really sure what to think or expect though to be honest - I don't have much faith in the church as a whole standing up for women's rights to the extent that I would like.
If the far right here try to weaponise Christianity (which I do think is a danger) and encourage this form of Christian Nationalism, it will be interesting to see how the modern UK churches respond to this. I really hope they would take a public stand against it.