that even had there been some sort of "formal" surrender the follow-on would have been exactly who had surrendered (Faction, Political Parties, Sunni, Shia) would it have mattered to what followed no matter had someone in particular said "we give up".

Disbanding the govt probably exacerbated it but theres a good chance would have been the same in the long run either way. The lack of bringing the larger populous into the process still would have followed.