Do you mean the President Rudy Kalbfleisch simulacrum who keeps breaking down in "The Simulacra", or the President Abraham Lincoln simulacrum who doesn't want to be sold in "We Can Build You"? Or do you mean the world has gone full blown "Faith of our Fathers" where the government is putting hallucinogenic drugs in the water supply to keep us from discovering the truth about our glorious leader(s)? Or some other book written by the fake Philip K Dick simulacrum built by Hanson Robotics, who was was ostensibly lost on a flight from Dallas to San Francisco in late 2005, and is rumored to have absconded to an undisclosed location and rebooted his writing career on the Dark Web?
https://www.goodreads.com/en/book/show/226460.The_Simulacra
The Simulacra, by Philip K. Dick.
Set in the middle of the twenty-first century, The Simulacra is the story of an America where the whole government is a fraud and the President is an android. Against this backdrop Dr. Superb, the sole remaining psychotherapist, is struggling to practice in a world full of the maladjusted. Ian Duncan is desperately in love with the first lady, Nicole Thibideaux, who he has never met. Richard Kongrosian refuses to see anyone because he is convinced his body odor is lethal. And the fascistic Bertold Goltz is trying to overthrow the government. With wonderful aplomb, Philip K. Dick brings this story to a crashing conclusion and in classic fashion shows there is always another layer of conspiracy beneath the one we see.
https://www.goodreads.com/book/show/400270.We_Can_Build_You
We Can Build You, by Philip K. Dick.
Louis Rosen and his partners sell people--ingeniously designed, historically authentic simulacra of personages such as Edwin M. Stanton and Abraham Lincoln. The problem is that the only prospective buyer is a rapacious billionaire whose plans for the simulacra could land Louis in jail. Then there's the added complication that someone--or something--like Abraham Lincoln may not want to be sold.
Is an electronic Lincoln any less alive than his creators? Is a machine that cares and suffers inferior to the woman Louis loves--a borderline psychopath who does neither? With irresistible momentum, intelligence, and wit, Philip K. Dick creates an arresting techno-thriller that suggests a marriage of Bladerunner and Barbarians at the Gate.
https://en.wikipedia.org/wiki/Faith_of_Our_Fathers_(short_st...
Faith of Our Fathers, by Philip K Dick.
Tung Chien is a Vietnamese bureaucrat in a world that has been conquered by Chinese-style atheist communism, where the population is kept docile with hallucinogenic drugs. When a street vendor gives Tung an illegal anti-hallucinogen, he discovers that the Party leader has a horrible secret.
https://www.hansonrobotics.com/philip-k-dick/
Philip K Dick, Research Robot.
Activated in 2005, Hanson Robotics debuted Philip K. Dick (aka Philip K. Dick Android) at Wired Nextfest. Designed by David Hanson as a robotic paean to the sci-fi writer of the same name, it was initially created using thousands of pages of the author’s journals, letters and published writings.