Preheat oven to 350 degrees F. Lightly oil a 9-inch baking dish or coat with nonstick spray.
Melt butter in a large skillet over medium high heat. Add shrimp, garlic and red pepper flakes. Cook, stirring occasionally, until pink, about 2 minutes. Stir in wine and lemon juice; season with salt and pepper, to taste.
Bring to a simmer; remove from heat and stir in cream cheese, sour cream, mayonnaise, parsley, 1/4 cup mozzarella and Parmesan.
Spread mixture into the prepared baking dish; sprinkle with remaining 1/4 cup mozzarella. Place into oven and bake until bubbly and golden, about 10-12 minutes.