Having caught the whole exchange there, could you point to bits of the world that are US overseas territories? Allies, (even one's that are essentially protectorates) yes, but an empire requires people actually understanding they are ruled by you.
Protectorates wise (countries who would fall without your backing so are assumed to be more or less under your control) you have Israel and South Korea. Both are pretty small countries on a global scale. I don't see where this "empire" idea is spawned from.