I’d argue that the TERF perspective is fundamentally anti-male rather than (or maybe in addition to) misogynistic.
The specific position TERFs hold that makes them TERFs is that you cannot become a woman if you weren’t born one and that women should be granted certain special protections and spaces of their own, kept free from men.
That’s why TERFs ALWAYS frame trans issues in the form of men dressing up as women to infiltrate women’s spaces and women’s services. They could give a shit about trans men, it’s all trans women because trans women are the ones using things that in their eyes should be the sole provenance of “real” women.