Considering that it would be rather difficult to fit the study of "all" books into the twelve years or so allotted for public education, it's probably safe to say that I disagree with the idea that "all" books should be "required reading".
In addition, I don't know what you mean by "recommendation". I could "recommend" lots of books to you, without endorsing the content of those books. I think you should read Das Kapital. The influence of that book on the course of history is both massive and undeniable, and hence you're not going to be very well educated if you aren't familiar with it. You probably don't agree with the ideas contained in that book. Neither do I. But that hardly means it shouldn't be studied.
Since I never said that, it's probably safe to say.