You are right and wrong. You are right that it will probably not be rainbows and sunshine, things rarely are. You are wrong to assume that rich vs poor being the biggest threat.

By removing all jobs, you also remove all real power people have. You go against the government and want to protest. The worse is not them cracking down on you but just ignoring you. They don't care how long you do it. It doesn't matter anymore. No value is lost by some jobless people on strike. Try rioting and the robot police will clear you out efficiently.

Trade doesn't matter. Neighbouring or distant countries don't matter. You can demonise them and invade them to occupy and expand your machine population and resources. Imagine CCP in china gets AGI first, they could literally invade all their neighbours, take out every single enemy nation and even it's own dissidents and have no problem whatsoever.