Hi Leoreth, I just played as the Moors to try out the Moors UU and I feel like getting the conquerors event is easy as the Moors.
If you just trade with the Arabs and are able to keep Cordoba, you can research Gunpowder (or Banking) and trade it with any other civ and you'll have your UU, which can sail to the New World.
I sidetracked a lot in research and I still got to the New World before 1500 (which I think is okay). I don't know if that's a concern or not or the AI is just stupid in my game (I'm playing on Viceroy) so...