Hello, my name is Arwa Mahdawi and I would like to cancel myself, please. I have a book to sell, you see, and it would seem that the easiest way to drum up a lot of free publicity these days is to declare yourself the latest victim of cancel culture. Suddenly everyone is inviting you on the telly to wax on about how you’ve been cruelly silenced by the woke mob. “Nobody can say anything any more!” the usual pundits lament in their 972nd piece on whether cancel culture has gone too far. “Free speech is dead! It’s just like Nineteen Eighty-Four!”

I don’t know if Big Brother is going to let me share this, but I have something terribly shocking to tell you about cancel culture. Here we go: you should definitely be worried, but it’s not the woke mob you need to be worried about. A depressing amount of energy is being expended on arguing whether calling someone out for using language a lot of people perceive as bigoted is “cancel culture”. But, while endless arguments rage about the intolerant left, free speech is under a terrifying assault from the right.

Want to know what real cancel culture looks like? Well, just sit back and look at the unprecedented surge of book banning efforts happening across the United States. Last year, for example, a county prosecutor’s office considered charging library employees in a conservative Wyoming city for stocking books about sex education and containing LGBTQ themes. Around the same time, Moms for Liberty, a rightwing advocacy group, tried to get a number of books banned from Tennessee schools because they contained content that disturbed them. They deemed a book about Galileo to be “anti-church”, and were outraged that a book about Martin Luther King contained “photographs of political violence”.

More recently, a school board in Tennessee banned Maus, Art Spiegelman’sPulitzer prize-winning graphic novel about the Holocaust, from its classrooms. Their reasoning? It contained eight swear words and a picture of a naked cartoon mouse. Yep, you read that right. What upset these people most about a book detailing how Jewish people were gassed to death in concentration camps by Nazis were some curse words.

Let’s be clear: there is nothing particularly novel about uptight school boards in conservative areas getting worked up over material they deem offensive. However, what is happening in the US at the moment is a lot scarier than a few over-involved parents clutching their pearls over naked mice. As the American Library Association noted last year, there has been a “dramatic uptick in book challenges and outright removal of books from libraries.” The free-speech organisation, PEN America, has voiced similar concerns. “It’s a pretty startling phenomenon here in the United States to see book bans back in style, to see efforts to press criminal charges against school librarians,” the organisation’s chief executive recently told the New York Times.

It’s not just school boards trying to police what kids can read about: it’s politicians, too. Last year, Ron DeSantis, the governor of Florida, introduced proposed legislation that would let parents sue schools for teaching critical race theory to kids. To be cute, he called this the Stop the Wrongs to Our Kids and Employees (W.O.K.E) Act. Now, Florida is trying to pass a bill that critics have nicknamed the “Don’t Say Gay” bill, which would let parents sue schools or teachers who bring up topics related to sexual orientation and gender identity. (Just a little reminder to everyone that DeSantis loves describing Florida as a beacon of freedom, in what he deems to be an increasingly authoritarian America.)

In an interview with the Washington Post last week, Spiegelman warned that what is happening now should be seen as a “red alert”. Maus being banned was no anomaly, but “part of a continuum, and just a harbinger of things to come”. What can I say? If it’s the “woke mob” that scares you after all this, then you must be fast asleep.

• Arwa Mahdawi is a Guardian columnist