@ScreamingMeMe
For the specific case of transphobia being a common thread between GC and the Conservative right, I think there are deeper reasons (I'm not saying that every GC is aware of this of course!).
Is it, aye? Got anything to back that up?
I think lots can be explained by looking it as a new generation of homophobic (to clarify, I'm not calling anyone specifically a homophobe) bias. There are many repeated arguments "gay/trans people are unsafe to be around children", "lesbians/trans women aren't safe in women's toilets", "gay contagion, ROGD", it's "unnatural". At it's heart, it's a mix of wanting to uphold the patriarchy and using hate against these minorities as a wedge issue to further political goals. (to be clear, I think lots of GCs would be very upset to think they are working to uphold the patriarchy, which we should all
all be fighting together to dismantle).
For some interesting examples, JKR has been quoted by republican politicians in defence of hateful legislation recently.