The MoD’s Iraq: Cultural Appreciation Booklet is a mine of useful information. On alcohol, for example:

Whilst alcohol was previously available in large Baghdadi hotels and from a small number of shops, most alcohol sellers have been forced to cease trading since 2003 under pressure from militant Islamic groups.

For reasons of space (I’m guessing) the booklet doesn’t say under what mandate militant Islamic groups have acted or how they gained a foothold in Iraq in the first place.

Cultural Comparison Scoreboard
Combating binge drinking: UK 0 Iraq 1.