Preheat over to 350º. Arrange tortillas in a 10" deep dish pie plate.
In a large bowl beat eggs and milk together, adding chiles and spices.
Sprinkle 1/3 of the cheese on the tortillas. Pour half the egg mixture over the cheese. Add 1/3 more cheese, then the remainder of the egg mixture. Top with the rest of the cheese.
Cook for 30 - 45 minutes, until the tortilla crust is browned and the egg mixture is golden and set. Let stand for 10 minutes before serving - it will deflate a bit - and serve with salsa, sour cream or guacamole.