Preheat your oven to 375°F (190°C). Lightly grease a 1-quart baking dish or a 9-inch pie plate with non-stick cooking spray or a little bit of butter.
In a large mixing bowl, combine the softened cream cheese, sour cream, lime juice, smoked paprika, chili powder, and garlic powder. Use a spatula or hand mixer to blend until the mixture is smooth and well-combined.
Stir in the corn kernels, drained green chiles, minced jalapeño, and half of the cheddar and Monterey Jack cheeses. Fold in the fresh cilantro. Season with salt and pepper according to your preference.
Spread the corn mixture evenly into the prepared baking dish. Sprinkle the remaining cheddar and Monterey Jack cheese over the top in an even layer.
Bake for 20 minutes, or until the cheese is melted, bubbly, and starting to turn golden brown around the edges. If you like a crispy top, you can broil it for an extra 1-2 minutes at the very end.