Well, I won the game, but it wasn't pretty.
Monty went to war with WK in 75 AD. Then in 125, Hannibal attacked me, while my axes and swords were marching west to take a barb city. Hannibal pillaged my ivory, but with some hasty whipping I was able to save my cities. When I noticed that Alex was plotting, I converted to Judaism, which was a state religion shared by Alex, DeGaulle and Hannibal. By 740, I've eliminated the invading stacks and Hannibal pays me some gold for peace.
In 760, Genghis joins the war against WK. On the same turn Alex attacks DeGaulle; that war would continue until 1440 without any cities changing hands. Hannibal joins the war against WK in 780.
In 1020, I'm happy to agree to Genghis's demand to join the war against WK. I manage to grab two cities across the lake. I want a third city, but it looks like Hannibal's army will take it before I can get there. And meanwhile, WK has made peace with Genghis and Monty, and Genghis has moved his army to my border, southwest of the lake. He's not plotting yet, but I'm sure I'm his next target. I make peace with WK in 1170 and start ferrying my army back across the lake.
Genghis demands Philosophy in 1190. I pay the tribute for 10 turns of peace. As I prepare for a Mongol war, Monty declares on Genghis in 1270. Perfect! I attack in 1300, capture two cities, sign a ceasefire in 1460 when I see a large Mongol stack approaching for a counterattack, then I declare war again in 1515. And then Alex (who had dropped from pleased to cautious due to that last declaration) attacks me in 1520.
It finally occurs to me to beg 1 gold from Hannibal and DeGaulle, to prevent this two-front war from getting any worse.
I bribe DeGaulle to attack Alex. Genghis makes peace with Monty 1545, then makes peace with me, too. I recapture the border city Alex had captured, then take two Greek cities, and Alex capitulates to me in 1625.
Meanwhile, Monty has attacked WK, and Genghis joins that war. I attack Genghis once more, in 1660. The following turn, WK offers to become my vassal. I accept his offer, thereby going to war against Monty, too. Monty signs a peace treaty in 1715. I push forward and take most of the Mongol cities, but Genghis refuses to bend the knee. I notice that he has a large stack sitting in the open in his remaining territory. He could use that to counterattack against me, or to go north to try to eliminate WK, but it
just sits there for at least a couple turns. Very strange!
Finally, Genghis counterattacks Beshbalik in 1755 and retakes it, at great cost to both sides. As I march to lay siege to it again, he pushes forward to try for another city. I destroy that stack and Genghis finally capitulates in 1770.
In the meantime, I've been leading the AP for a couple centuries. (Votes for a religious war against Genghis kept getting voted down by Hannibal and DeGaulle). By spreading Judaism to an captured Mongol city and giving it back to Genghis, the religion has now been spread to everyone and a religious victory is possible--but I still don't have enough votes. I figure that a couple more wars will be necessary to gather those. I attack Monty in 1790.
While the Aztec War continues, the AP vanishes! Hannibal, who built it, must have researched Mass Media and made it obsolete.
Oh, well, if I make Hannibal my next target and capture the AP city, I still might bring it back. But in the meantime, Monty gets Assembly Line in 1822, before I do, and his infantry slows down the attack by my rifles and cavalry. I push forward, wearing him down by attrition, while he refuses to bend the knee.
Then in 1850, he does become a vassal...to Hannibal.
More attrition...and I finally destroy the Aztec Empire in 1870. Pushing east some more, and Hannibal capitulates in 1892.
In 1894 I declare (and all of my vassals) against DeGaulle, who very reasonably capitulates in 1898 after losing only one city. Now I want to ensure a conquest victory, so I give six cities back to Genghis. I'm still a fraction over the domination land threshold, but I baulk at giving up Karakorum, which has three wonders. So I keep it and take my chances.
Naturally, the computer rolls the dice and awards me with a domination victory in 1900.