Well maybe culturally influenced but Mesopotamia didnt “conquer” Greece. Well Persia conquered greek cities in western Anatolia(Turkey) but that happened later on. As i wrote, before classical Greece, you are basically entering a prehistoric era from which we only have myths and archeological artifacts. What little text we have from back then is either too limited or incomprehensible or non historically accurate(myths).

As far as Greece is concerned, there was the Minoan civilization(in the island of Crete and other islands), whose writing(linear A) has basically nothing in common with (ancient) greek. We still havent decyphered Linear A. They are the basis for the whole Atlantis myth and they were probably destroyed by a tsunami(Santorini’s volcano going boom).

After them we had the Mycenaean civilization, which is a greek mainland one. They used linear B, which was between linear A and greek. We have mostly decyphered linear B. Myceneans are the trojan war greeks.

After that we had or maybe didnt have the “dorian invasion”(northern greeks? fucking/conquering the Myceneans??? noone knows), which caused cultural changes and many centuries of “dark age”. And only after that we had the classical greek city states and the start of history.

History and national identities are very messy. And once you start going prehistoric, it is even more ridiculous. Which is why every country has artificially created its own national myth/history.