If you refer to "America" in Spanish it's assumed you're referring to the continent, the state is commonly referred to as the United States or the United States of America.
We actually call ourselves Americans here in Uruguay.
https://es.wikipedia.org/wiki/Uso_de_la_palabra_americano
"En el uso tradicional a los naturales de América como continente.
En un segundo término, a los ciudadanos de Estados Unidos de América, uso derivado de la influencia lingüística inglesa."
Mexico is the United States of Mexico, there also were United States of Colombia, United States of Venezuela (now renamed to simply Venezuela), etc...
https://en.wikipedia.org/wiki/Mexico (Wikipedia doesn't show the official name in the title)
Also, I thought, "it's so true that the American economy is orders of magnitude stronger than other nations. Clearly this is because of an empire of oppression built upon the same small-minded chauvinism which leads Americans to refer to themselves as Americans."