the argument that america "only" is 200 years old or something like that (have no idea and am too lazy too google it, is a bit strange), since many civ's are quite young if you think about it I mean look at switzerland: the oldest democracy on this planet goes back to 1291 BUT switzerland has been built 1848 (or something like that, I really can't remember the exact date), so what is it? 150 or 700? sure enough france and english and german has been spoken for many years, but go back 500 years and you really would have difficulty to translate "your" language. china with mao as leaderhead is maybe 50 years old. I really don't think the years a civ exists or has existed should be the point, but more the cultural impact it had. greece HAD an enormous impact on world history, as had egypt, spain, germany, and last but not least: the USA.
that said, I really think most people in the "western world" have NO clue at all, about the ottoman empire (I for sure don't

) and if you replace "american" with "western" the sentence wouldn't be as offensive, but just true. most people don't know much about anything, safe what they learned in their school, but that's mostly science or economy and not so much about history and society. I'm the proof of that somehow, and I have to admit, that I learnt from the civ series much more, than from the school, even if (and that's no big "if") the civ series wasn't completely right about all those things in the civilopaedia. still, better than school...
and why would one replace "america" in that sentence with "western"? because that's a cold fact. sure we european have our own languages and political systems, but if you look at the CULTURE: it is clearly hollywood, macdonalds, capitalism - american culture.
this really isn't meant as an offense, I'm just trying to ease you a bit on this sentence. the western culture has it's flaws (they know not much about the region between greece and china), and it has it's good sides (social market or however that's called in english).