KJK is open about her background and how she's become comfortable. Like @SionnachRuadh points out, some will always, perhaps not even consciously, look down on you for a working class background. Mine involved bouncing around foster care until I studied my way out and I've often come up against a wall within academia because it is predominantly expensively educated Oxbridge types who gatekeep, and likewise with many "feminist" names.
JCJ has never had a job and has never had to worry about the roof over her head because her parents' pay for it. I'm aware of others who are trust funded and / or multi - millionaires. That's just their background and I don't begrudge it, rather, what I begrudge is the common people act and a failure to acknowledge their relative privilege.
JCJ phoned a friend of mine to say I was "impolitical" which is nice speak for "a bit too common." I don't know what the purpose of such a call was other than to cause upset. Another asked if I could remove "philosopher" from my bio since it was embarrassing them by association. I have the qualifications but my background and not speaking their language and not conforming to unspoken norms led to trashing just as it has with other women who don't "belong."
The poster who said that JCJ lies is spot on. I'm aware of, shall we say, difficulties with at least three students on her course that were she answerable to any regulatory body would see her fired. I'm aware of financial irregularities around the Radical Notion. And on a personal level, she posted an especially distressing lie that I had invented claims of sexual inappropriateness from her Professor friend as "revenge" for a rejection. Some of us are accused of "holding grudges" which trivialises some very abusive behaviour.
I regard that crowd as upholding the very patriarchal dynamics they claim to be fighting.
You won't win with them and it's not even about that. Just do your own thing. KJK has done so and reached the public. I find the soc-fem lot irrelevant to my goals and that, I suspect, is the source of some resentment. The expectation of recognition which KJK has received.