Preheat oven to 350 degrees. Add 2 tablespoons of water to a 9x13 baking dish.
Slice each pepper in half from top to bottom. Remove the membrane and seeds and place the pepper halves in a 9x13 baking dish.
Add the cream cheese, chicken, jalapenos, mayonnaise, bacon, 1/4 cup of cheddar, and all of the Parmesan to a medium mixing bowl. Stir well to combine.
Spoon the filling evenly into each pepper.
Sprinkle the tops of the peppers with the remaining cheddar.
Cover the pan tightly with foil and bake for 35 minutes, or until the peppers are done to your liking.