You don't seem to know how language works. Language changes. If people start calling the piece of land currently ruled by king Bush "North Mexico" and people understand what is meant by the term "North Mexico", then "North Mexico" is a name for said country.

Whether you like it or not.

As for America, do you really think that when George W. Bush said The other thing about America that is amazing is a lot of people pray for me, he means that people in Venezuela pray for him?