The problem with the Babylonians is actually saying they were a definite "civilization," "people," or "nation," of any real unity. From all historical accounts, they were two empires (one of which was couched as a VERY belated revival of the previous - like some of those horrid Hollywood sequels to movies made in the '60's-'80's coming out in the 21st Century

) which were just clusters of Akkadian city-states (and a broader, conquered Empire in the revival) under three foreign dynasties (the Ammonites and Kassites in the original, and the Chaldeans in the revival) that are mostly untied by their capital city, Babylon. Despite it's immense commonality in the parlance, it's very tenuous to define as a distinct civilization, people, and nation, and not a different type of political-military-religious structure, archaeologically speaking.