"Battle for Baghdad", which, I should note, I bought largely on your recommendation and have enjoyed a great deal, makes "collecting" the support of civilians one of the objectives of at least one of the factions.
Absent a strong FoW mechanism though (Kriegsspiel now and forever), it seems to me that the civilian role is best allocated to a PC, potted off an "AI" run by the umpire, or, as I suppose is most common, built into the RoE. All the modern games I played at Historicon -- including, I should note, a Kriegsspiel -- used the latter device.
Interesting piece. Thanks for sharing it.