You really need to stay away from WWII analogies.
Yours really don't hold up. A more accurate counterpart for post-WWII Paris in Iraq would probably be the Kurdish zone, inhabited by a group severely oppressed by Saddam. It is an area that is normally quite safe for Americans.
As for Berlin, which might be a good analog for Baghdad, you can see for yourself what tactics were used to quell opposition. Oddly, there was not that much resistance there after the surrender.