OK, so I think the following are going to make the Ak Koyunlu a LOT easier:
--the Fatimids are still alive (i.e. don't have Mamluks to deal with and Fatimids can be easily collapsed), and Cilicia is still alive (i.e. you don't have Ottomans right next door).
--you have at least the following cities untouched (i.e. not razed by barbs): Mosul, Nisibis or Mardin (Nisibis is better), Ar-Raqqah. Mahabad is optional (you'll just build catapults from it anyway to help capture Shirvan) but the city north of it (Maragheh) is crucial (the horse must be hooked up right away)
--barb cities in Iraq--I had a lot of rebel cities which slowed down how quickly I captured the Iraq cities, and they had a lot of doubly promoted troops from having successfully repelled the Mongols.
Civics have to include serfdom (no choice because there's so much land to improve). Start with monarchy for happiness (since you'll have a lot of other religions in your cities), OR, and if possible, trade for economics (I couldn't but it's doable in some cases). Later on, once you have more than 6 cities, go to empire and theocracy (after barracks are built).
Nisibis builds Heroic Epic (certainly much helped by an unpillaged and hooked up marble quarry near Mosul!) in 4 turns, and churns out catapult, trebuchets and heavy horse archers (the only unit quick enough to traverse the empire).
Raze everything in Kurdistan (I stupidly kept Qazvin which eventually flipped to the Safavids) and keep only 1 city in Shirvan (which will eventually flip to the Safavids).
Pre-build settlers and settle Kermanshah (excellent production with a size 4 starting city with barracks) AFTER the Safavids spawn.
Capture Rayy (Tehran), Esfahan and Hamadan (which will NOT flip to the Safavids).
Right now I'm in 1480 and enjoying my golden age, but I'm actively preparing for the Safavids.
Addendum: won in 1543--vassalized the Safavids after capturing all required territory (left them with part of Azerbaijan but was careful to found a city blocking the rest of Tabaristan from them), Kerman captured from the Ghaznavids (still alive), and then captured Siraz from the Portuguese when they least expected it (only had 2 heavy infantry in it against my 9 heavy horse archers).
Important was that Ottomans never declared war (they were involved most of the time with other wars such as Cicilia and Georgia). Did I mention I switched to Sunni?