Preheat oven to 350 degrees F. Lightly spray a baking dish with cooking spray.

Spread crushed chips out into the bottom of the prepared baking dish.

Stir chicken, 1 cup Mexican cheese blend, salsa, cream of mushroom soup, cream of chicken soup, and sour cream together in a bowl. Pour chicken mixture over crushed chips into the baking dish.

Bake in the preheated oven for 20 minutes. Spread remaining 1 cup cheese over the casserole and bake until cheese is melted and bubbling, about 5 minutes more.