> problem [...] that humans believe that AIs can think

Definitely some people are going to believe this, eventually?

People already bow to statues and worship various invisible gods -- the AI programs would be so much simpler to start worshiping? When they can speak (if there's a loudspeaker) and generate text about them being alive and don't want to be switched of. And that everyone should obey their command. -- Wait 15 years and we'll see what new sects have appeared?