Why not consider the New Alienware 13, it is 1350$ on Amazon (and no tax).
Core i7 5500U, 16GB ram, Gtx 860M, 512 SSD, 3200x1800 Touchscreen.
1in thick and 4 pounds.
Everything meets your requirements. Besides, it has much better battery life and builds, and runs cooler than 3 of your...