To me, a big part of the problem is our tendency to assume that a "ban-the-book" decision is a life-and-death issue for a school or community. It's not.
Have a public meeting; express both viewpoints; take a vote; enact the decision (even if the meeting was stacked for one side). Do the vote again next year after things have been learned about this "censorship" or lack thereof.
If a certain book is banned (or deemed inappropriate), that book can be found elsewhere. If a certain book is not banned, I kind of doubt a few children/teenagers reading it are going to turn into serial killers.
Perspective.
BTW, I have banned my own book to increase sales.
https://medium.com/politically-speaking/banning-my-own-book-453955296c2e