One of the most important places in Bagdad right now are bookstores. This is because that's where you can most easilly get fake ID cards. A growing number of people have two cards, one Shiite, one Sunni. When gunmen stop them on a bus, in the street, or so on, they show either the real or fake one, depending on which sect the gunmen are looking for.
That's for men. Women just don't go outside, hijab or not.