Inca rush is a sure way to get your ass handed to you. You'll be backwards for a long time to come. Quencha is a terrible unit because you don't yet have catapult. It often takes three Quencha to kill an archer in a city. God forbid they have more than one.
This is my version of an Incan rush. Explore with your first Quencha. Build a Quencha, worker, and then
another worker. Do this while researching Polytheism, Mining, and then Bronze Working. When the second worker is done build Stonehenge. You should be able to chop in a few turns to finish this. Next up research priesthood, animal husbandry, roads, and then Masonry. Build the Oracle right after Stonehenge, and chop to finish. If you do this right while building mines it will be done very fast. At this point you should be well on your way to popping a second priest. The first you put in the capital giving +5 boost to gold. The second build your religious wonder to help spread religion without missionaries. This keeps you out of the red setting up a quick expansion. With the free tech choose horseback. Build a second city and chop Pyramids. Location is everything if there are no hills or food you're just wasting your time. This needs to be an ideal spot. You don't build the Pyramids in your first city because it will screw up the great people. With this setup you pop priests in one city and engineers in the other. For my first three cities I like some hills, a river, and a decent amount of farmland. If you see stone anywhere link this up right away to speed up the Pyramids. Spam settlers, axeman, and archers if you want to be friendly. Archery should be 1 turn by this time. Just build 2 settlers and an army and attack if you don't feel like making your own cities. 3 well located cities should be enough to do this. If you want to go ahead and lock in a victory now research Theology and build the Apostlic Palace where you built Stone Henge and the Oracle. You should pop a great engineer in the city that you built the Pyramids right about this time. Check to make sure before you start the Apostlic Palace. When it's ready use the engineer to build it in one turn. When that is complete build all of the religious building in your cities to give them more hammers. It helps to make the third city your science city. You should be doubling the score of the civ in second at this point. It's about 1200 AD.