Do Brazil and the US have the same goverment? NO.
Do Narva and RF have the same government? Taipei and CFR? São Paulo and Montevideo? No, but so what? Perhaps we shouldn't then call Germany its name, since Turkish, Russians, French live there? Or maybe we need to change America's name altogether, since it only represents one Italian man who is not alive anymore. No, just calm yourself.
America is a continent, deal with it.
I have dealt with it: I agree it is.
America is also a country, deal with it.