idk how you get rid of real women because people become real women for different reasons
The first big wave of real women in the late 2010's/early 2020's came from soylennial losers who realized they were aging out and had nothing to live for, and in the cultural moment they knew as 37 year old white guys who did nothing but podcast/speedrun they would get no pitty points and be discarded as useless eaters, so they joined the only "oppressed class" they were capable of.
Zoomers on the other hand just become real women because they're online 24/7 and being a real woman is hip and cool and a personality modifier which takes you from being irrelevant to an OMGSISA in proglib fandom zoomgroid spaces. Also a solid 90% of these people aren't even *real* real women in the sense that they're not getting rot pockets/rotdogs installed, the men just take E and put on dresses and the women take test, grow patchbeards and cut their tits off, it's still a commitment but we're not talking about maniac AGPs like "Jennifer" Pritzker or "Caitlyn" Jenner.
The best way would probably be using legal enforcement to basically make real womaning out medically as hard as possible (heavy restrictions on e/test, making it illegal for the state/hospitals to real woman kids out medically and psychologically), setting legal precedent so that employers can't fire/the government can't arrest you for not validating real women and promoting divide an conquer amongst the real womansphere and their orbiters (pitching feminist hag foids against MTFs and homo caca BBC lovers against pooners)
The fate of transgenderism basically relies on how actively gen alpha takes it up. Millennials used it is an escape from mediocrity, zoomers used it as a personality enhancer, if gen alpha doesn't care for it it'll probably just die out