Preheat oven to 350 degrees. Spray an oven-safe serving dish with non-stick cooking spray.Blend the cream cheese and mayonnaise until smooth, using an electric mixer or stand mixer. Add the chilies, jalapeño peppers, and the shredded cheeses. In a separate bowl. combine the breadcrumbs and parmesan cheese.Spoon the cream cheese mixture into the prepared baking dish and top with the parmesan mixture.Bake for 25-30 minutes or until the mixture is hot and the topping is lightly browned.Serve warm with tortilla chips, crackers or toasted bread.