The worst, I'd say is "Displays on teachers doors alluding to that teachers political beliefs and activism." That would be it for me - I'd not want my child to attend the school.
In Scotland, teachers are told that they shouldn't be sharing their politics with children.
I worked in an LA where councillors were pressurising headteachers into displaying LGBT+ posters. There was also a push for those clubs, but that's not necessarily a red flag, provided they're just being used as a 'safe space' for gay and bi teenagers to talk.
If staff are all displaying their pronouns, then that suggests that the SLT has been captured. I was aware of some schools where Headteachers were vying for Stonewall accreditation.
I did supply in one school where there was a rainbow crossing, but it had been ordered by a previous HT and was being allowed to flake off by the time I arrived.
I covered a class where the absent teacher had a nameplate with a cartoon pic of himself (bloke with a beard) and "Mx" as his title. From what the kids said, he was off with stress because they remembered to call him "Mx" but kept using the wrong pronouns. [No, I didn't hold a conversation with them about this - it was one throwaway comment made by a boy and I went temporarily deaf.]
He's obviously no longer there - I recently saw a community FB post where a parent was complaining (in rather robust terms) about a woman in a different department who 'doesnae ken what she is' and was insisting on being "Mx" with particular pronouns. The parent voiced his concern that someone with obvious mental health issues shouldn't be in the school. I should imagine that the other teacher would have had a mention if he were still there.
My opinion is that staff are entitled to their beliefs, but they shouldn't be foisting them upon pupils.
As an example, during the Scottish independence referendum, staff were warned that they shouldn't be discussing how they were going to vote with pupils. (Two members of staff did tell the kids that they were voting "No" and weren't pulled up on it, however, probably because the HT was also a "No" voter.)