I have no problem calling those born in the United States, Americans, if the same distinction is also recognized for people born in Argentina, Bolivia, Brazil, Colombia, Chile, Ecuador, Guyana, Paraguay, Peru, Suriname, Uruguay, Venezuela and any person born in the islands, Antilles and other countries that make up the American continent.
You can use, if you want to differentiate by the origin of people, because the vastness of the continent, North Americans, Central Americans and South Americans, but all of them are, etymologically speaking, born in America.