I suspect that what we will see is the standard Iraqi army infantry TO&E simply given the M113s with out much change to their organization. That is what the US Army is currently doing with various non-mech units in Iraq. For example a light infantry platoon will get 4 M113A3s to use in mounted operations. They either have to scrounge up some extra bodies to use as drivers and TCs or lose 2 men out of each squad (probably a rifleman and team leader) to fill those spots. I wouldn't be at all surprised to find "extra" bodies from company HQ platoons and battalion HHC getting pressed into service in that role (especially as drivers) to allow the infantry squads to maximize their dismount capabilities.
If there was no specific mention of mortar carriers (M125 and M106) going to the Iraqi army my guess they aren't getting any. The US has a lot of "extra" M113s as they were (and still are) used by just about everyone in heavy formations from mechanics to medics to engineers as a generic armored utility vehicle. Mortar carriers are more rare, and many of them are still in use by the US Army as the M106A2 (older M106A1s were converted, and I suspect so were at least some M125s). So I think we'll see the Iraqi army using non-mechanized mortars (81mm/82mm and 120mm) carried in trucks or towed in the case of the 120mm. Not sure if they still have any of their MT-LB mortar carriers, but they may use those. As I understand it the first Mech Brigade of the New Iraqi Army is using MT-LBs as APCs.
This of course, is only speculation
Adrian