Everything mentioned here perfectly describes a really big number of gender studies academics and they have no problem maintaining a foothold in academia with enough backing to push their agenda and silence competent sociologists who would otherwise just laugh at them.
This is true, though I suspect Cross would rather pursue a future in politics or punditry rather than academia. Competition is red hot for miserably paid teaching positions at universities.
Anyway, about her history. I first encountered her writing at the Border House Blog, which was located at borderhouseblog.com. The site is dead now, but lives on through the Wayback Machine.
The Border House is really interesting in retrospect because it was one of the first beachheads where the social justice subculture entered the gaming scene. But it lacked some of the vitriol of the contemporary SJ scene. Reading through the articles there, the authors and commenters seem much more laid-back and agreeable than the berserk denizens of Tumblr -- or, God help us, the Facebook polyamory group.
Here are some of Cross's articles:
https://web.archive.org/web/20150328000710/http://borderhouseblog.com/?p=8026
Her account of BioWare forum drama after the Jennifer Hepler controversy, involving the infamous moderator Stanley Woo.
https://web.archive.org/web/20150319042227/http://borderhouseblog.com/?p=11377
Free speech is bad. This article was pretty widely read IIRC. Argument over "die cis scum" in comments.
https://web.archive.org/web/20130918132615/http://borderhouseblog.com/?p=5248
Feminism in Star Wars games.
https://web.archive.org/web/20130819223819/http://borderhouseblog.com/?p=6432
Trap jokes in Dragon Age! Oh noes!
https://web.archive.org/web/20140804025557/http://borderhouseblog.com/?p=11060
Review of Remember Me. Argument about the main character being biracial in the comments.
Another interesting Border House personality was Samantha Allen, another trans academic. She was a big deal on the Border House but has never had much of a high profile since. She crowfunded her vagina, but unlike that other tranny a while back, she was honest about it so no one kicked up much of a fuss.
https://web.archive.org/web/20130429174650/http://borderhouseblog.com/?p=10617
Learn what it's like to be a black tranny in a wheelchair using the latest in video game technology.
https://samanthaleighallen.wordpress.com/media/
And here's her blog. She went to bat for Hillary on MSNBC last year. Not much else of interest.
The lolcow quotient of these people and the Border House is low; what makes it interesting is seeing how the SJ community developed since then. In the Border House comments, respectful disagreement and debate were common. The "Grand Theft Discourse" article, #2 in the list above, has a shockingly reasonable exchange between Cross and "Deb" about whether it's productive to rant against cis people in trans communities. If this discussion happened in most SJ forums today, it would be more along the lines of "How dare you tone-police me, you cis-apologist piece of shit! I hope you get raped by a pack of goobergators!" I also mentioned the argument over Nilin's depiction in the Remember Me article above; that comment thread is child's play compared to the racial representation arguments you see on Twitter now.
The Border House represented a tipping point in Internet discussions. It was becoming clear that there was a large population online who had lots of time on their hands, intense resentment over perceived wrongs done to them and a thirst for attention. They were a rich, ready fuel source for an outrage-driven media machine, but before they could be used that way some of the moderating voices had to be silenced. Katherine Cross figured out how to ride the Social Justice wave by politicking and running interference for more charismatic figures. Most of her Border House contemporaries were left in the dust.
Also, Cross's main blog is at
https://quinnae.com/. It's pretty dry stuff. She does have some interesting writings about Kreia from KoTOR 2.