This might not initially sound like a problem if one pictures himself being on the winning side of the shift, but the bottom can only get knocked so far out before you run into problems with insufficient consumer demand or outright civil unrest.
Why do you think almost every sci-fi dystopia has robot guards/goons? Today being rich is a lot about being able to pay poorer people to work for you, tomorrow it's about being able to buy the robots instead. Sure there'll be jobs, routed around by global mega-corporations depending on where labor is the best value for money and most politically and socially stable but the rich will have to deal less and less with the riffraff. The few trusted people you need and the highly skilled workers to keep the automation society going will be well rewarded, keeping the middle class from joining the rest.
I'm not sure how worried I am about an AI, since it could also develop a conscience. I'm more worried about highly sophisticated tools that has no objections to their programming, no matter what you tell them to do. How many Nazis would it take to run a death camp using robots? How many agents do you need if you revive the DDR and feed it all the location, communication, money transfers, social media, facial recognition information and data mine it? All with an unwavering loyalty, massive control span, immense attention to detail and no conscious objectors.
If someone asked people as little as 30 years ago if we'd all be walking around with location tracking devices, nobody would believe you. But we do, because it's practical. I pay most my bills electronically and not in cash, because it's practical. Where and when I drive a toll road is recorded, there's no cash option either you have a chip or they just take your photo and send the bill, most find it practical. I'm guessing any self-driving car will constantly tell where it is so it can get updated road and traffic data, like what Tesla does only a lot less voluntary. Convenience is how privacy will die, why force surveillance down our throats when you can just sugarcoat it a little?