A fascinating song.
Perhaps there are versions in other countries that say
"We don't like you, Uncle Sammy
Go back to your home o'er the sea?"

Or is it another one-way system? Puts me in mind of a discussion in another place, where British folk performers are discussing how awkward it is to get a permit to come and perform in the USA when you have the booked gigs - Canada etc are no problem.
Do US performers have real problems getting the OK to come and perform here in the UK?