You don't understand that the USA is the global hegemon. It does not get manipulated by other countries. It either manages to dominate or it does not. There is no scenario where other countries have the power they need to actually dominate the US domestically in any sphere.

The dominant producer of propaganda globally is the USA, both domestically and abroad. Not a single country on the planet has the networks, the apparatus, the number of people, and the continuous propaganda history that the USA has. No "foreign" actor has any chance of competing fully against US propaganda.