In fact the US was dead against having the election in Iraq at first, and had to back down and allow it. Here's a piece by Noam Chomsky that provides a different angle on it from the mainstream media."...finally the US (and UK, trailing obediently behind) had no recourse but to allow an election�and of course, the doctrinal system went into high gear to present it as a US initiative, once it could no longer be avoided."