Which book is more philosophical and literary?

"The Forever War" by Joe Haldeman, "The Moon is a Harsh Mistress" by Robert A Heinlein, or "The Neuromancer," by William Gibson? At school I need to do a project on a book of literary merit, and so far I'm reading "The Neuromancer," and it doesn't seem like it will work for this assignment. Our teacher wants us to focus on novels of literary merit. Novels that are philosophical, and have more to the stories than entertainment, and so far, after reading about 25 pages of "The Neuromancer," it is really in your face and edgy with sex and violence. I mean it's okay for a book to be edgy and unsettling, so long as it has a good reason, and "The Neuromancer" in my opinion doesn't seem to be trying to do anything else but be cosmetically appealing. So in your opinion, which novel is most literary and would work best for my project? Or do you think I'm wrong, and need to keep reading "The Neuromancer?"