I don't think you can cite anything from Homestuck that even backs up the argument that Dirk is a product of nostalgia for a patriarchal society.
Half of Dirk's own professed beliefs are antithetical to that very society. The only aspect he's nostalgic for is his perceived older brother. If he was so nostalgic for that society, he'd also have no issue in buying into the patriarchal values of him and Roxy having to have kids. Which he doesn't. He literally pushes back on that idea.
We're talking about the same Dirk who stated that Roxy is the hidden leader of their group, able to acknowledge the personal growth Roxy experienced despite his own personal issues at their hands. We're talking about the same Dirk who's final discussion with Dave was all about deconstructing the toxic irony that hung between them, addressing how he doesn't believe Dave is cool in the way that doesn't matter. I mean it literally ends in one of the most iconic hugs of the comic. That very same discussion where Dave gets to confront a version of his abuser and discusses how he thinks Dirk doesn't even clear the halfway mark to be as bad as Bro.
I genuinely believe the Epilogues have warped a lot of perception regarding his prior character.
And no, nobody is saying gay men can't be misogynistic, I'm saying the Dirk and Rose stuff in conjunction with EVERYTHING else they make Dirk do is homophobic rhetoric.