Alexander was from Mixed families and no wonder he was trying to be friendly to various peoples as he saw himself and his own diversity in them and they saw him as their own.

Even today we have some tribes in Pakistan and Afghanistan that claim he was one of them. Not only from Turdistan.
But he was one of them too. :)

Considering Greeks and Alexander

They were not friends. It was Greeks that got together with Mobs of Babylon and possibly betrayed and poisoned him and tired to wipe out his whole family.

Greek Elite was also furious on Alexander that he did not aloud defeated Persians to be their slaves , but made friends with them. And that he did not believe their scholars who told that End of the World is at India , but went there personally with whole bunch of witnesses to prove them wrong.And they hated him for that.

So Greek have no claim to claim Historic Alexander either.

But one from Myth.. Yeah everyone claims him.Not only Nick the Greek