The Simulacra -- Philip K. Dick, Paperback

On a ravaged Earth, fate and circumstances bring together a disparate group of characters, including a fascist with dreams of a coup, a composer who plays his instrument with his mind, a First Lady who calls all the shots, and the world's last practicing therapist. And they all must contend with an underclass that is beginning to ask a few too many questions, aided by a man called Loony Luke and his very persuasive pet alien.

In classic Philip K. Dick fashion, The Simulacra combines time travel, psychotherapy, telekinesis, androids, and Neanderthal-like mutants to create a rousing, mind-bending story where there are conspiracies within conspiracies and nothing is ever what it seems.