Don't break Amazon up. Nationalize Amazon. Use all the data they collect to make supply chains more effective/efficient, move us closer to a planned economy.
I would argue that it would most likely become another bureaucracy where people jockey for position and power with efficiency being given little more than lip service. Such bureaucracies are difficult to kill or replace.
Because the government really runs efficiently. We should really want the government to have access to our data. What could possibly go wrong?