First of all, the media could have been a bit more clearer in the latest news from the Estados Unidos Mexicanos (the official country name of Mexico).
Outgoing president Felipe Calderón—not the most loved of Mexican presidents—is not trying to change the name Mexico, he is formally asking that Estados Unidos Mexicanos (United Mexican States) be officially changed to Mexico. Here are his reasons:
"Mexico doesn't need a name that emulates another country and that no one uses on a daily basis."
"It's time for Mexicans to return to the beauty and simplicity of the name of our country, Mexico. A name that we chant, that we sing, that makes us happy, that we identify with, that fills us with pride."
The name Estados Unidos Mexicanos was formed in 1824, when Mexico declared its independence from Spain and yes, it was created to emulate the country's northern neighborhood. No one actually truly uses the name in daily conversation, even though it is used in official government correspondence, currency, etc.
Maybe Calderón has good reasons for doing this, but it is clear that most people see this as a distraction, and some people even think that he was suggesting that he wanted to change the name "Mexico." If only Calderón put more attention and energy to his country's issues.