>Apparently various education groups are advocating for dropping Shakespeare from school/university curriculums as his work “is full of misogyny, racism, homophobia, class discrimination, anti-Semitism”. I'm sure Chaucer and Dickens must be on the firing line. Homer and the Iliad also looking to be cancelled amongst many more. no doubt.

What groups?

I have many friends in academe and I haven't heard anything like this.
Nearby Princeton is a hotbed of wokeness. Statues come down there almost daily. If there were anything like this afoot there, I'd have read about it. They stage Shakespeare's play regularly.
Certain school boards have removed Huckleberry Finn from the curriculum, responding to pressure from Black people who object the depiction of Jim - Mrs. Watson's slave and Huck's friend.
That book is one of my favorites and my first reaction was to object, but then I decided that the person who feels offended - not me - is the expert on whether or not something is offensive so I bought a copy for my grandsons to read and they liked it.
I took a Shakespeare class in college and loved it. That prof - he had survived a landing on Anzio Beach- could bring the class to tears when he read a sonnet or a passage from a play. Any love I have of the bard comes from that prof.
His classes were SRO.