In a large skillet over medium-high heat, melt butter. Add shrimp, garlic, and red pepper flakes. Cook, for about 2 minutes until pink. Stir in wine and lemon juice; season with salt and pepper, to taste. Add in drained RO*TEL diced tomatoes and chilies.
Bring to a simmer; remove from heat and stir in cream cheese, sour cream, mayonnaise, 1/2 cup Cheddar, and Gouda.
Spread tortilla chips into a microwave-safe plate or bowl. Spoon the shrimp dip over the top of the tortilla chips. Sprinkle with remaining Cheddar and Gouda cheese. Place in the microwave for about 1 to 1-1/2 minutes. (Microwaves times may vary.)