No, it pitted the Persian Empire against varying coalitions of about 200 Greek city-states intermittently over 50 years.
To gain land for farming
Each other. Athens and Sparta, with their respective Greek allies, fought each other. The Persian Empire later sided with Sparta against Athens, but mostly it was Greek against Greek.
The attack was no surprise - the two armies were confronting each other. Alexander wanted to defeat the Persian army to gain control of the Persian empire.
No, it pitted the Persian Empire against some of the Greek city-states in mainland Greece, the Islands and Asia Minor.
They were against each other
The Greek city-states habitually fought each other. After the Persian threat receded, the cities went back to fighting each other.
There is no connection between the Aztec Empire and the Persian Empire. They did not know of each other's existence.
They had nothing to do with each other.
Sink or swim - either stop the incessant warfare between each other and unite against the Persians ally and fight, or surrender. Some city-states fought in alliance, some joined the Persian side.
the blacks and whites fought against each other
Persian Wars
They would have had to continue their struggle against Persian rule instead of going back to increasingly vicious and costly wars with each other. And Macedonia would not have been free form Persian rule to dominate the weakened Greek city-states.