Turn 0 (350 AD): Start micromanagement. Go from -1gpt (at 50% science) to +11 gpt. Change production to harbor in most cities (Vilcas, Seville, Andahuaylas, Toledo, Vitcos, Vilcabamba), as this will allow us to get some food out of those commerce-rich coast squares, so cities won't starve. +11gpt, Monotheism in 8turns.
IBT: Madrid Palace -> Sun Tzu (KT prebuild). Barca library -> MP. Vitcos harbor -> library.
Turn 1 (360 AD): Change production in Cuzco, Tiwanaku, Corihuayrachina, Ollantaytambo to courthouses. Change sliders to 4.6.0 (+4gpt, MT in 6 turns)
IBT: Andahuaylas harbor -> library.
Turn 2 (370 AD): Zzz.
IBT: Smoke-Jaguar demands Construction. The cheek! Rejected of course. Toledo library -> MP. Santiago galley -> MP.
Turn 3 (380 AD): Adjust sliders to 3.7.0 (+13gpt, MT still in 4 turns)
IBT: Seville harbor -> library. Vikings complete Sun Tzu.
Turn 4 (390 AD): Change prod in Madrid to marketplace due to the completion of STA.
IBT: Vilcas harbor -> library. Lose a galley to the ocean, but no units.
Turn 5 (400 AD): Zzz.
IBT: Madrid MP -> library. Vilcabamba harbor -> MP.
Turn 6 (410 AD): Sliders to 6.4.0 (+28gpt, MT still in 1 turn).
IBT: Monotheism -> chivalry. Barca MP -> Temple.
Turn 7 (420 AD): Sliders to 3.7.0 (-7gpt, Chivalry in 6 turns)
Turn 8 (430 AD): Move a swordsman to Cuzco from Tiwanaku for military police. Sliders to 4.6.0 (+5gpt, 5turns).
IBT: Madrid library -> cathedral (KT prebuild). Tiwanaku courthouse -> wealth. Vitcos library -> MP.
Turn 9 (440 AD): Save Barca from riots by giving them a clown. Temple in 1 turn there anyway. Sliders to 3.7.0 (-8gpt, 3turns - save a turn).
IBT: Barca temple -> courthouse. Ollantaytambo riots.
Turn 10 (450 AD): Not much. Micromanage Barca.
Summary: Please do not change the way squares are used by cities. Keep an eye on the governor, he's bound to change it. Shields and food aren't that important with accelerated production, what we need is commerce, and that quickly. If you change, you better have a reason for it (like getting more commerce). I know I'm sounding picky, I know micromanagement is boring, but this really is important if we're gonna have a shot at winning this.
It's gonna be hard to get KT - by my best calculations, Madrid will have a shot at it at about 550 AD if you change to Knights Templar immediately after chivalry is researched. So change from cathedral to Knights Templar in Madrid - there is a chance! Also, change wealth in Tiwanaku to Knights - we wanna go for Persia soon, after all it is a conquests win.
Also, research navigation after chivalry - there is an extended amount of sea squares southeast of Santiago, where there could be some land. Sadly, I can't zoom out enough to show you.
Fight on