It wasn't equipment that I was thinking of still being there past 2011, Kuwait is the more likely storage place for forward-placed equipment anyways. If I had to guess, we might have a sizeable advisor contingent along with more specialized personnel still in place. Iraq still has a long way to go to get a fully functional and self-supporting military up and running, along with the rest of the country.
And while Iran will always be a worry there are significant impediments to their ambitions in Iraq. As Zissou already pointed out, Iraqis are very proud. Then there are the basic differences like the fact that Iraqi's are largely Arab while the Iranians are, well, Iranian/Persian, coming from very different cultures and traditions. Even their view on religion is a bit different, with the Iraqi Shia clergy (educated and centered in Najaf, Iraq) largely taking a much more moderate view towards Islam's role in government and society in general than the Iranian Shia clergy (from Qom, Iran-based centers). This view is exemplified by the the most influential Iraqi cleric's stand on Islam's role in Iraqi politics, which is largely to keep the two seperate.
So, still a lot of issues and concerns but it is looking a lot better for both us and the Iraqis than just a few months ago.