Our politics do not translate to yours AT ALL.
Happy to give you a full explanation of why it is different, but not at this time of night.
One thing I would say is that although we have two main parties, the Conservatives and Labour, we do not have a two party system, and even our Conservatives are probably more left wing than your Democrats.
JK Rowling is a life long left winger who previously donated millions of pounds to the Labour party and is friends with the former Labour prime minister, Gordon Brown. She eschews the use of legal tax avoidance schemes, preferring to pay UK taxes on her colossal income in full. She has consistently championed the rights of women (including abortion rights), children, gay people, Jewish people and so on. She's pretty much always on the side of the underdog. She opposed both Scottish independence and Brexit, and is generally unafraid to incur the wrath of different groups of people for different reasons at different times. She is one of a group of left wing feminists who have formed the strongest opposition to gender ideology in the UK, along with others such as Julie Bindel and Rosie Duffield, to name just two.
Why am I telling you this?
Well, it's because the idea that JK Rowling has been radicalised by the far right into attacking an oppressed and vulnerable minority, and even that she has always been hateful/bigoted/homophobic/racist/whatever but just managed to hide it well, quite simply does not stand up to scrutiny.
It is the sort of stupid idea that could only have been dreamed up by Americans who have absolutely no knowledge of UK politics, who the key players are, what they believe, or where JK Rowling sits on our political spectrum, but are applying American logic to British people and politics.
It just doesn't work.
Just because, in America, the only people standing in opposition to gender ideology are conservatives who vote Trump, love their guns more than their children and want to ban abortion, that doesn't mean that people who oppose gender ideology in the UK are the same.
You just cannot apply the same principles to your political system and ours. It simply doesn't work.
I had an American (former) friend tell me that even if JK Rowling might have a point about things like Scottish rape crisis services being run by trans women who call female rape survivors bigots for wanting single sex support, she shouldn't express her views out loud to her 14 million Twitter followers because Trump is mean to trans people. The idea that a British feminist shouldn't express her lawful opinions about issues affecting women in the UK/Scotland, where she lives, because Americans elected an orange nut job who hates both women and the LGBT+ community, is really quite offensive.
I also got to enjoy a lecture about how bio-essentialism and reducing women to their biology isn't what feminism is about. I'm afraid I replied that the only thing Americans have to teach the rest of the world about feminism is how not to do it, and if only American feminists were more like JK Rowling and less like Judith Butler, American women might have abortion rights enshrined in law and paid maternity leave.
That conversation is the reason why she and I are no longer friends.