I can see the problem you're trying to avoid-- the assumption that one sort of feminism is typical for women. And I think it's worth avoiding.
However, you seem to be implying that men aren't excessively clustered by politics at LW.
Also, the problem pointed to in the Not on the Master List article doesn't generally manifest at that level of fear. I think the more common negative reaction to LW is moderate revulsion, and I suspect that just inviting more women isn't going to solve it.
If anyone tried the experiment of inviting more women, it might be world posting about how it worked out.
Maybe it's just that when someone says: "I feel uncomfortable about X", my natural reaction is thinking about a possible fix; but when someone says: "I am a member of a tribe T and we dislike X", my natural reaction is: Fuck you, and fuck your tribe T!
Only later comes the rationalization, that improving a situation for a specific person, especially for someone who feels some discomfort and yet wants to be a member of the community, is good for the community. But obeying demands made in the name of a different tribe, just helps the other...
A long blog post explains why the author, a feminist, is not comfortable with the rationalist community despite thinking it is "super cool and interesting". It's directed specifically at Yvain, but it's probably general enough to be of some interest here.
http://apophemi.wordpress.com/2014/01/04/why-im-not-on-the-rationalist-masterlist/
I'm not sure if I can summarize this fairly but the main thrust seems to be that we are overly willing to entertain offensive/taboo/hurtful ideas and this drives off many types of people. Here's a quote:
The author perceives a link between LW type open discourse and danger to minority groups. I'm not sure whether that's true or not. Take race. Many LWers are willing to entertain ideas about the existence and possible importance of average group differences in psychological traits. So, maybe LWers are racists. But they're racists who continually obsess over optimizing their philanthropic contributions to African charities. So, maybe not racists in a dangerous way?
An overly rosy view, perhaps, and I don't want to deny the reality of the blogger's experience. Clearly, the person is intelligent and attracted to some aspects of LW discourse while turned off by other aspects.