The reason she provokes a reaction is because that's her schtick and always has been. Many of us thought it was an excellent political move when we felt we weren't being heard. I went to early gatherings, heck, I still have a totebag that I was given at one.
I used to be a regular here, and I dip in and out, and one thing I notice is the KJK threads are as incendiary as ever, but out in RL I found her tactics are very much the least persuasive. She grabs headlines. Then you have to have a conversation where you explain that you don't agree with her about taking away lesbian parental rights and protections, or her handwaving away the loss of reproductive freedom in the US, and on, and on...
I used to genuinely believe the broad church thing. But one of the reasons I walked away and ended up changing my mind on a huge amount of this issue was watching the GC movement use 'broad church' as a way to distance themselves from the authoritarian, blinkered excess of folk like KJK. I think that's why people, whom I know would self describe as on the left, post scornful, dismissive responses to anyone who raises the latest incidence of KJK being unabashedly right wing.
Frankly, the 'just because a nazi agrees the sky is blue...!' thing has become the laziest way to avoid the responsibility of countering these poisonous narratives which, whether you mean it or not, have gained traction. It's one thing to accept questionable bedfellows when you're very much on the backfoot and don't have access to the halls of power. It's quite another once your movement actually embeds into political party policy.
I understand the resistance to accept that KJK and a significant chunk of the GC movement is authoritarian right wing. I know some of you are still clinging to the idea that it's a strength. But her single issue obsession, and indeed the tactics she employs, are identical to the pro-lifers in the US. I've seen where that shit leads, and she's an interesting barometer, because for all the 'broadness' of your church, I've watched the whole thing slip further into sanitizing right wing authoritarianism.
And I know the responses to this will be further variants on 'she speaks for herself, not me!' And 'Oh, so you support child mutilation!' And 'Handmaiden!' Or someone will ask me what a woman is and possibly suggest I'm male. Because what I once thought was about the rights & protection of female people has devolved into knee jerk sloganeering and gender phrenology. And I'm just going to walk away because I've learned to say my piece, let those for whom it will make sense read it, and not get drawn into the same tired merry-go-round of talking points.
Essentially, supporting KJK even though you 'disagree' with her is a way you can pretend there is room for a plurality of views in your movement, or even that you could dissent. If you really think that's true, build a few genuine friendships with people who identify as non binary, or maybe Black trans masculine lesbian, or any other label that you think is ridiculous but is used by a person you would say was born female, find sone common ground, and see how quickly the broad church shows you the door.