Preheat your oven to 350°F and generously grease an 8x8-inch baking dish with the 2 tablespoons of melted butter, ensuring the bottom and sides are fully coated.
In a large mixing bowl, whisk the 4 large eggs until they are fully beaten and uniform in color.
Add the 1/2 cup all-purpose flour, 1 teaspoon baking powder, and 1/4 teaspoon kosher salt to the eggs, then whisk vigorously until the batter is completely smooth with no visible lumps of flour.
Stir in the 16 ounces of shredded Monterey Jack cheese, 16 ounces of cottage cheese, and 1/4 cup of drained diced jalapeños until all ingredients are evenly distributed throughout the batter.
Pour the mixture into the prepared baking dish and spread it into an even layer with a spatula.
Bake for 35-40 minutes, or until the edges are deep golden brown and the center is fully set and does not jiggle when you gently shake the pan.
Let the pan cool on a wire rack for at least 20 minutes to allow the squares to firm up before cutting.
Slice into 16 squares and serve warm or at room temperature.