You just described pretty much perfectly described the archaeological site of the city of Babylon as it is today.
On the contrary, there has been a consistant Arab presence in Babylon since the Persians took it. The city was never destroyed, it just faded from prominence several centuries after the Persians took it.
Yours in Truth,
A misnomer my friend, since it seems you are being disingenuous. The city of Babylon is not in existence today