Note that if we look at the second part of this - fantasy as a whole being taboo - there are going to be some serious effects.
No fantasy will also very likely bleed over into depressing the market for SF as well.
No fantasy means
Conan the Barbarian, Schwarzenegger's breakthrough film, doesn't get made, nor do
Conan the Destroyer and
Red Sonja. Less popular SF means
Terminator is less likely to be made. So, without his breakthough film and first major roles, there goes his movie career. And without that, he doesn't get into politics (his early steps were the GOP playing on his celebrity).
Other film careers impacted: Bill Murray and Dan Aykroyd (
Ghostbusters), Ron Howard (
Splash,
Willow,
Cocoon), Tom Hanks (
Mazes and Monsters, or whatever it gets called - assuming it'll be made as per OTL - will be his breakthrough instead of
Splash), Ridley Scott (
Alien and
Blade Runner are questionable - maybe they get made maybe not, but
Legend is straight out), this list can go on and on.
And, as already pointed out, a TL where the "religious" right weilds enough clout to kill D&D and Fantasy, there will be far more serious effects elsewhere, particularly in politics. Say goodbye to reproductive rights, sex ed, science education (geology and biology in particular), all the New Deal/Great Society programs, the establishment clause (at least for all practical purposes), etc. Say hello to serious censorship in the arts, music, TV, film, and literature, enforced prayer in school, and theocracy in general. This TL will look a lot like
The Handmaid's Tale.
Ah, okay. When I browsed through those manuals, it was in the early 80s, 1983 at the very latest. So maybe they hadn't put in the helpful hints about avoiding evil characters.
It's been ~30 years since I crackedopen a D&D book, but I don't recall anything like that. Could've been though.