Preheat the oven to 375 degrees and lightly grease a 9x9 baking dish.
Heat a large skillet over medium heat. Add the chicken pieces, season with salt and pepper, and cook until no longer pink, about 6 to 8 minutes. Remove from heat.
In a mixing bowl, stir together the cream cheese, mayonnaise, sour cream, chili powder, cumin, and lime juice until smooth.
Add the cooked chicken and corn to the bowl. Stir until everything is evenly coated.
Spread the mixture into the prepared baking dish. Sprinkle the Monterey Jack cheese over the top.
Bake for 20 minutes, or until the cheese is melted and the edges are bubbly.
Remove from the oven and scatter the cotija cheese and cilantro over the surface before serving.