Guilty as charged.

So you think australia and indonesia have a common heritage because they are neighbors, but the US and australia don't because we live an ocean away?

It's so funny, I was genuinely interested in this topic as my understanding of greece and turkey was one of conqueror and conquered, not "common heritage". I thought maybe there was history/ties/etc I was missing, but apparently it's just some politically driven people spewing nonsense.

Perhaps foreigners just don't know what "common heritage" means.

Spot the foreigner.

Edit: As I noted in my other comment, to say greeks and turks share the same heritage is like saying americans and native americans share the same heritage. American heritage stems from britain, but no sane person would claim that native american heritage comes from britain. I don't think any sane person would associate the ottoman empire with greeks. They would associate it with the turks because it was a turkish empire. I bet most greeks see their heritage as ancient greece.

The American educational system has really failed this one

The conqueror and conquered relationship has been about the 40% of aforementioned millennium.

The rest they have been allies, mercenaries, enemies,trading partners, etc...

It's far more nuanced than a single relationship type.

That solves it then, you are Greek-American never went to a Greek school. Well Greek history books are available freely online/