[xp84]

> intentionally jingoistic and self-aggrandizing name chosen to represent a new area of imperial possessiveness.

It already had such a name, just one probably named by Mexico if I had to guess.

[ytpete]

Considering the word "Mexico" comes from the indigenous people of the region while "America" was a name brought by European colonists... I'm not sure you can really say both of those share the same air of imperial possessiveness.