The sudden influx of nations on the march threw a spanner in a complex network of trade and intermarriage for regional stability. We have *zero* real idea why the Sumerian civilization was supplanted, or even where it originated from for that matter. Was it a language isolate because semitic groups became demographically dominant through natural causes? Were the Sumerians transplants from somewhere else? Did the Akkadians, Assyrians, and Neo-Assyrians rigorously stamp out ethnic groups? Zero idea.
It doesn't bode well for your position that you appear to be ill-informed also, and that you're asserting that a blip (because agriculture had no problems coming back to Mesopotamia after we have a reliable historical record again) in the climate also caused every other civilization in the Levant to collapse rather than 'we have a fragmentary historical record of the death throes of those civilizations against unknown invaders who pushed out (in the Levant) from a geographical position which happened to also serve as the transit corridor for trade, diplomatic communication, etc?", along with evidence for civil unrest, natural disasters, and a large number of factors which are merely contributory factors to a complex situation.
Honestly, please go read 1177 BC.