I just won in 2036 with the Incas as my ally. Their UB did not help out much, as they were not doing anything culturally anyway. It was

crazy in the end. Spaceship components being build all around, losing control of the UN to the builder, China (in other tries I got it every time).
Few things I noticed about my game.
1. I missed out on Polytheism by one turn, but was the early game religion whore. The only other one that I missed out on was DR and I was busy trying to get Liberalism and Nationalism. Turns out every civ became Hindu, eventually me too, which was great for relations. The idea of hogging religions was for just this.
2. Once you have a PA, you can just missionary spam your ally`s two cities and they will eventually build cathedrals and stuff.
3. This game I only build the Oracle, Parthenon, SC and ND as well as the national wonders such as Globe Theatre, HE and whatever. I produced about 9 GA which I sent to Inca, 3 in the capital, 6 in the 2nd city. I had build the shrines for 4 of my 5 religions which was stupid...I didn't need the culture and each new religious building polluted the GPPs further. That and the Oracle I think really slowed me down, because in the home stretch I had 3 or 4 GP produced (and one GS) which I still settled in the 2nd city.
4. In most games, Ramses is a *****.....uh, lets say uncooperative. I usually tried this against both Egypt and both China (that Pavilion has also not really panned out). This time I went with Huayna Capac (as the 4th civ) and I will try him out again.
5. I think some people have said that putting a wonder in your queue keeps it out of the queue of your partner. I need to work with this more, because the Incas build Hollywood in their 3rd city, but not
our 3rd city. I have no control of where they build their Islamic shrine either. I didn't want to trust them to build the Eiffel Tower, but we lost out on it in the end. Surprisingly, they did build broadcast tower, much to my delight.
6. I have a question about the teching with your partner. It seems you get a boost when researching the same one. How exactly does this work? Using the UN to force FS is great, but I really took a hit in teching when I lost Bureaucracy.
Fun, fun, might try another.