In general, I think women (especially young women and girls) are more supportive of SJW movements because it is expected of them to do that. Women are socially expected to be kind and tolerant, and the punishment for a woman who doesn't play into that role is harsher and more immediate than the punishment for a man. I suspect that, for many of these young women, this is mostly a performance put on so that people do not gang up on them to accuse them of being "mean". Especially when women who fall out of line are publicly and viciously made an example of (think of "TERFs").

I'm not sure if this would apply to women being more enthusiastic supporters of dictatorships, for example. We don't really have statistics for that, but I suspect that if we did, we wouldn't see much of a difference in terms of who is more vocally in support of it between the average man and the average woman. What we would see though, is that the majority of positions of power and authority in such regimes are held by men and that it has been men, historically, who have created, ran and expanded extreme ideologies.

Which brings me to Trans activism. I'm sure you've noticed that the current hierarchy of TRA has "transwomen" at the top. As a matter of fact, "transmen" are merely an afterthought for this movement. Sometimes they get mentioned, usually (and ironically) when they give birth. So, while there might be more women engaged in this type of activism out of a wish to not appear bigoted or unkind, its most ardent supporters and the ones who hold the real positions of power are still men.

Another point to keep in mind is that women tend to be more supportive of social reform. Look at the LGB movement. Historically, it has seen a lot more support from straight women than from straight men. And, generally, homophobic women tend to respond to LGB people a lot less violently than homophobic men. The current environment of woke social activism is taking advantage both of women's genuine desires to help those less privileged, and their fears of being perceived as "unkind" and "bigoted". I mean, we are talking about people who were threatening JKR with death and telling her, in graphic detail, about how they would like to rape her with their "girldicks". And they did this with no restraints, in a public space, to an author that has a large underage following. Do you really think less powerful women didn't look at this and realize what awaits them if they speak out of line?