My difference with your analysis concerns the idea that the American Empire is a product of the Cold War. The Empire existed before the annexation of California and Louisiana. In fact, the founding padres romanticized the Roman Empire as they crafted the American political structure. Washington has always been a Rome away from Rome.
Here's an example of a federal seal with a famous Roman icon:
I marginally disagree
Here's an example of a federal seal with a famous Roman icon: