Your usage of the word 'besotted' discombobulates me.
The being interesting, entertaining and enjoyable to an international audience is, first and foremost due to its form of delivery - it is a game, after all. Then again, bear in mind that the human population of the world privileged enough to be able to throw money at games has been exposed to American movies for a good hundred years now.
I absolutely loved the first Bioshock, even though my views on politics, religion and everything might differ; it was a refreshing, original, rather special interactive experience. The second title was a bit too much of the same; done by people that were neither enlightened nor very inspire. It was a wage slave effort, at best, so it was not quite as original. I still enjoyed the playing it part, even though it didn't tingle my taste buds as much or impress me with proper writing as the first one did.
Bioshock Infinite - I agree that the aesthetics on display look like a history book on the good ole US of A came to life during a hefty LSD binge, but it only seemed to influence large portions of character/enemy design and, to some extent, the pseudo historical setting of the castle in the sky that is to be our virtual playground during the course of the walkabout and shooty shooty ride that is Bioshock Infinite.
The 'mechanized Patriots' still rub me all sorts of wrong ways, but my comrades readily chuckle just at the mention of them.