If they want to play the normalizing the extreme game, for every example they can come up with for feminism I can come up with a dozen for Christians, the manosphere, male celebrities, etc. without even straining myself.

I think conservative leaders try to tell people that everything is equal now. That Martian Luther King ended racism in the 60's, that women can have jobs and that the wage gap is this crazy left wing conspiracy theory and just give it time because we live in a meritocracy, and the BLM protesters are all insane. They had pivoted so far abstract with the southern strategy that over the past ten years I think they started to have the audacity to be self righteous about it, and say that any push forward towards equality is actually a reversal of the hierarchy. They will point to positive stereotypes and paint them as privilege rather than boxes to other and expectations to be enforced. And this type of thinking goes so deep into every "identity politics" issue with conservatives, I don't know what could ever get the moderate conservative voters out of it. They just trust the feelings that were instilled in them about themselves and "other kinds" of people in the world and don't stop to question any part of it when sexist things happen to the women around them. And from what I have seen, it does look like to me that the propaganda will always try to scare people away from the solutions if they dare question their own ideology, so they never even stop to read about or listen to the issues straight from the horse's mouth.