Muslims were used for the gay book case for the same reason why Asians were used for the Affirmative-Action case despite the extreme amount of Asian nepotism in the tech industry and universities giving Asians plenty of quota while reducing the White quota to near zero excluding legacies.
It's not within the Overton Window to say that White people or Christians are discriminated against.
Remember the Overton Window is "acceptable to say but batshit" to normal to "acceptable to say but batshit on the other side". I've always felt that "you can't be racist against white people" was "acceptable to say but batshit" to actual fringe leftist beliefs. Normal people will certainly pause a bit when hearing that theory and think it's kind of "out there." Leftists, of course, have a different window, but Joe Normie on the street? They've done studies on this and outside of 1. leftists and 2. blacks no one buys that bullshit.
Now consider that as part of the left slowly losing the culture war and losing their ability to social engineer -- to intentionally fuck with the overton window -- all those "acceptable to say but batshit" things are going to become fringe beliefs that aren't acceptable to say anymore. Still better, a LOOOOOT of conservative beliefs are currently unacceptable, cancelable beliefs to state you have becuase of the specific way the left has engineered the Overton window over the past 30 years or so. We're already seeing this with the growing pushback against troons and faggots and other degenerates.
I've gone into this before and someone on Twitter had a much better way of explaining it, but the long and the short of it is there are always going to be "batshit insane, out there, completely unhinged" beliefs on the left and right. Barring some sort of massive cultural shift that will leave us with a society none of us recognize, white supremacy / white nationalism will never be an acceptable belief to express to normies, nor will normies support pedophilia or the removal of property rights. These things will always be outside of the Overton Window. They are anchor points, in other words. By pretending everything to the right of Mao was "nazi adjacent" -- by tying beliefs such as nationalism to the anchor -- they're pulled outside the window.
Now the neat trick here if you're a batshit insane leftist is this doesn't just shrink the window. It actually makes fringe lefty beliefs -- "you can't be racist against white people" or "you can't arrest criminals if they're black because that's racist" -- slide into the window from the other side. It slides the window, it doesn't shrink it.
By pulling this game where you make the right's beliefs completely verboten to even talk about, yet alone profess a belief in, you make your batshit leftist friend's beliefs acceptable.