You are right, this battle took place more than one thousand years before Muhammad was born. However, if Greece had been part of the Persian Empire, it might have fallen to the Arabs when they conquered the Persians in the middle of the seventh century.
"You are right, this battle took place more than one thousand years before Muhammad was born. However, if Greece had been part of the Persian Empire, it might have fallen to the Arabs when they conquered the Persians in the middle of the seventh century."
If, if, if.............????
And if the Greeks had fallen to the Persians, then who knows what would have taken place 400 years later when the Roman Empire arose, and who knows how the meeting of those two empires might have changed all the social, political and religious forces that later convulsed together at the eastern edge of the Mediterranean Sea at the beginning of the common era? No one knows what might have been, including whether or not there would have been Christianity or Islam in what we now call 600 A.D.
Change a single major event and you have to assume the possibility that the major events that followed it may not have occurred either.