Why the fuck do they owe that state?

They don't. Our duty is not to the state; our duty is to the Constitution. To support and defend The Constitution and laws of the United States of America against all enemies, foreign and domestic." Really chew on that sentence, savor the flavor, especially those last two words. That's a flavor that comes in boxes. ~~ Four~~ five boxes. You don't seem to understand that. Probably because you're not actually American.

You don't want to be an American citizen? You may leave. Renouncing your citizenship, you fill out the paperwork that says "I am no longer a citizen of the United States" you're done. You aren't coming back. We won't re-naturalize you. You have to apply to take that oath. Your application will be denied.