Philip K. Dick 
Simulacra 

In a post-WWIII world, a matriarch maintains rule against a popular uprising in this sci-fi classic by the author of The Man in the High Castle.On a ravaged Earth, fate and circumstances bring together a disparate group of characters, including an android president, a First Lady who calls all the shots, fascist with dreams of a coup, a composer who plays his instrument with his mind, 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. Set in the mid 21st century and first published in 1964,  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.