Space Colony win, 1967 A.D. Ho-hum, I suspect, but Monarch is my regular skill level, so any win is a good one. It's actually been a while since I've finished/won a XotM.
I was going to go for AP, and controlling it was very useful in this game, but after seeing the map and Sitting Bulls position on it (I think I met Sitting Bull in the 1500s, although I had his position from map trading before then), and realizing the only way I was getting a missionary to him was through Joao, I decided space would be easier.
Even though I was frustrated by it, I loved the map with the barrier mountains and boundary channel. I was overjoyed to meet Isabella to the east, I find her to be one of the best AI for an early axe/sword rush while she goes religion-crazy. I managed to rex a bit east and south, getting the important iron to the south. I actually got alpha before Izzy had mining! I rolled over her and built up infrastructure until gunpowder.
Before long, I discovered that my archnemesis HC was the tech leader, even though he only had four or five cities, and that he was Hammys vassal! Hammy was a perfect next target for me, but first things first, I built the AP, and with the help of the holy city of Barcelona (Judaism), I became the AP leader.
That put Hatty and Ragnar, both Jewish states, firmly on my side. After gunpowder, I got the build 8 musketmen event, that gives all the muskets you ever build pinch. I slowed my tech pace slightly while building 30 muskets and cash for upgrades. Hammy was just finishing replaceable parts when I got rifling. I also used a great spy (I think I had four in the game, mostly at low odds while trying to get a great prophet for the Jewish shrine) to build my EP against him, and sent spies and 30 freshly upgraded riflemen with pinch, cg1, drill 1, and two more promotions each through Hammys lands. When the next AP vote came up, Hatty and Ragnar joined me in the fight against Hammy/HC. I capitulated Hammy when he was down to two cities that were on the other side of Monty and Joao.
With HC, who hadnt taken the military route, it was just a race between Ragnar and me on who would get more of his cities. HC never got to capitulate, which was unfortunate, because I wanted some of his techs!
Much peace ensued after that war. I started down the AP path until I identified the map issue. I then geared up for space. Joao voluntary vassalized to me. Because of all the extra EPs from the Great Spies, I got to watch behaviors of different leaders, which was interesting. Monty attacked and capitulated Brennus right through Mao, and then set his sights on a cultural victory

. He was a little late though. Investigating his cities, the turns to legendary were all between 100 and 150 with less than 200 turns left in the game. There was no way he was getting there before I got to space, even with Great Artists. As I cottaged and tech stole my way to the tech lead (Sitting Bull had techs on me for the longest time, because he was beelining so strongly, he had steam power before philosophy!), my power dropped considerably as my still decent standing army grew outdated.
So Monty the forever insane, in the middle of his culture run, declares war on me. His army (and his vassal Brennus) is possibly the only army in the world at the same tech level as mine, but I have the techs to upgrade mine. Great decision, Monty. So I built a couple tanks, upgraded riflemen to infantry, and decimated his cavalry. Both Ragnar and Mao joined me in the fight against Monty, and I took two of his cities, including one of his culture cities. Mao absolutely rolled over him, and Monty eventually capitulated to Mao, trapping my entire army inside Teotihuacan, with no way out due to the cultural pressure of Tenochtitlan
for the rest of the game. Fortunately I never needed my army again, because I would have had to declare on Monty/Mao just to get it out.
The ending was as youd expect, teching through the tree with no help, as by this point, even Sitting Bull was left far behind, with my engine builds in Madrid (which had the Moai statues, who would have thought that on this map

), and Lish, my ironworks city near the iron south of the capital. Both engine builds were about 9 turns with chops/starvation micromanaging.
This was a really fun map to play. Thanks DS!