Im not answering your main question because Im not sure I have a good one. I will address the risk. What's happening is an Us vs Them situation developing around that very issue. You might end up fighting with this group in a way that impacts your career badly. If any SJW's in there, they will passive-aggressively bait you into saying or doing something they can portray as sexist or unprofessional while appearing blameless themselves. These people are small percentage of people who take action but quite effective and in groups like you describe more than average. It took me months to counter a talented one years back that wanted my higher position at any cost. I got lucky some women in power knew the both of us enough to find my evidence most believable.

So, it's the kind of thing that can be anywhere from a situation you can talk out to a hornets nest that will light you on fire. Be careful. Id say ask more women online for advise focusing on those with stronger, personal skills. Get more opinions.