I urge gender-critical feminists to remember that most defeated generals underestimated their enemy.
I don't imagine much deliberate planning takes place by anti-feminists. It's probably not even needed because they already have the power.
I remember when MRAs identified the TRAs as a way to split feminism, just prior to identifying Black Feminism. It wasn't so strategic in the sense of 'back of the envelope' plotting - just opportunistic. And you are right about the existing power structures meaning they didn't have to work so hard. Cultural misogyny is a readily available and inexhaustible fuel they can exploit at any time.
But I still think the shepherding of young activists, the media and politicians has been pretty spectacular.