This is weird, not just because you forgot how many American continents there are, but because when people get bothered about calling the USA "America," it usually turns out to be because they consider America to be a single continent, north and south together, whose name the USA is usurping. If you prefer dividing it into North America and South America, then there's no confusion with plain America.

In other words, you should have said "Not the whole one continent."