Just because you're not using it to actually send tweets or follow people
Well, I couldn't describe what "fake" would mean better. Perhaps I could hack facebook's authentication to let me in without a valid account, that would be fake enough for you?
Also: you don't give any personal information out by creating an account, only when you use it to it's intended purpose (find me on facebook: Vasas Elemér. You won't know me any more then you do now.). As to IP tracking: that's not worse than a tracking cookie. Boo fuckin hoo.
So you say you have to have the digital equivalent of passport and visa to access the "USA internet" from a far away location?
The infrastructure of the internet is (of course) owned by different countries, but the core design of the internet don't support separation by countries the way you suppose.
You don't normally know or have control over the route of the packets you send and receive, it can cross multiple countries on it's way without affected by the fact (apart from apparently certain countries like to sniff everything...). It's not like you travel by car from Germany to Russia.
If you want your network to be part of the internet, you must have to adhere to certain rules, and these rules and organizations should be independent from any country.