Much in the same way that the Fundies weren't actually defeated, they were just ridiculed into irrelevance. There's no actually changing the vast majority of these peoples' minds, but thankfully the hardcore believers aren't actually a majority. Ridicule the hardcore long enough and truly expose them for the totalitarian dickheads that they are for long enough and they will lose their cultural power.
Think about why all of a sudden there are so many "Cancel Culture isn't real, bigot, and if it is, it's actually conservatives cancelling liberals" articles coming out: they're sensing that people are starting to catch on and they need to redirect the narrative to paint themselves as the victims and fighters for equality and the working class. Forcing the pendulum the other way takes time, and especially with how entrenched their ideology is, it will take awhile for them to lose their cultural power, but it will happen sooner or later.