Aren't you still American? ;)

As an Indian I am confused why only people of the US are called Amerians while two entire continents are called America.

And also, why we Indians are not considered Asians by the said Americans.

Because "America" is part of the nation's actual name, and the only part that isn't a modifier. What else could you call Americans? Unionized Statists?

I actually use the term "USian" quite frequently, but then I'm weird that way.

Time for bed. "Un-ionized? What is this person trying to say?"

typically American response