Earlier quoted context omitted.
The USA, you mean?
Nobody would be taken seriously calling the US "America" in South America.
Much as yours is called la República Federativa do Brasil, which you call Brasil for short. Do you ever call it the RF I wonder? Real question, I have no idea.
Whatever you call America, the country, in your language, that's up to you. The Chinese call us 美國, the few of us aware of that are not even slightly bothered by it. Your language, your rules.
You have no right, and no ability, to dictate to Americans how we refer to ourselves and our nation, in our main (but not official) language. We do not care what your name for us is, and we do not care at all what you think about how we refer to ourselves.
For the record, in America we do not think of the Americas as one continent, but rather, two. So Brazilians, as we style you, are South American. Canadians, Mexicans, and Americans, are North Americans. If we need for some reason to refer to the people of both continents we might say "people of the Americas" but this doesn't come up much, just as we might say "Old Worlders" to refer to the megacontinent of Europe, Asia, and Africa.
The chip you carry around on your shoulder does you no credit at all. The notion that because we use a word in the name of our nation to refer to ourselves in some way denigrates the other inhabitants of the two continents, North and South America, which happen to share that word with the name of our nation...
That is 100% a you problem, not an us problem, and not a US problem. Get over it. Or don't.