Wouldn't that instead be a dominant global influence instead of a territorial empire? The US may have a considerable amount of clients, sometimes introduced or sustained by force, but calling it an empire is a blurring of terminology (at least, by what I consider to be a classic definition of empire). Would you consider the Soviet Union to have been an empire that included Cuba, North Korea, etc?
"Empire ought not be conflated with imperialism. The former is a structure, the latter is a policy."
Also, if the US supported Saddam Hussein militarily in his rise to power, would that not have made Iraq part of a US empire, and if so, wouldn't the current war be considered an internal police action instead? If Puerto Rico required a police action, would it be called a war, and would the US have to disregard international law in order to act?