Why is there so much Shakespeare incorporated into "Brave New World"? What does Shakespeare represent in "Brave New World"?

Answer 1

<<Shakespeare provides the language through which John understands the world. Through John’s use of Shakespeare, the novel makes contact with the rich themes explored in plays like The Tempest. It also creates a stark contrast between the utilitarian simplicity and inane babble of the World State’s propaganda and the nuanced, elegant verse of a time “before Ford.” Shakespeare’s plays provide many examples of precisely the kind of human relations—passionate, intense, and often tragic—that the World State is committed to eliminating.>>

from: http://www.sparknotes.com/lit/bravenew/themes.html

And see:
http://en.wikipedia.org/wiki/List_of_quotes_from_Shakespeare_in_Brave_New_World

Answer 2

The title Brave New World was taken from a quote in Shakespeare's The Tempest. Check these sites.

http://en.wikipedia.org/wiki/The_Tempest_%28play%29
http://en.wikipedia.org/wiki/Brave_New_World

You can compare the themes and motifs at these two sites.
http://www.sparknotes.com/lit/bravenew/themes.html
http://www.sparknotes.com/shakespeare/tempest/themes.html