Amazon probably won't get broken up as long as people continue to get the lowest prices from them.
As far as owning you in every sense, that won't happen until these companies start buying up so much property that they rival military bases in family services offered. At that point, once it becomes possible to live cradle to grave on a company's property, that's when you will be owned.
Currently, it's actually the definition of when something gets broken up or not. Anitrust today focuses on consumer wealthfare and not corporate power. However, there are some politicians like Elizabeth Warren who are argueing to change that criteria. This is often referred to as "Hipster Antitrust"
Hipster Antitrust is basically how antitrust used to function before Bork. Just about the same time when income inequality really started to accelerate
As far as owning you in every sense, that won't happen until these companies start buying up so much property that they rival military bases in family services offered. At that point, once it becomes possible to live cradle to grave on a company's property, that's when you will be owned.