Heat 1 tablespoon of the butter in a medium saute pan over medium heat. Add the garlic and cook until fragrant, 1 to 2 minutes. Add the bacon and cook until crispy and browned, another 5 minutes. Add the Swiss chard and cook until wilted, stirring occasionally, 4 to 5 minutes. Stir in the artichoke hearts, pickled jalapenos and sun-dried tomatoes and heat through, 1 minute.
In a deep pot, melt the remaining 3 tablespoons butter over medium-high heat. Add the flour and cook, whisking, until golden, 2 minutes. Lower the heat to medium and slowly pour in the milk while whisking; cook, whisking constantly, for 5 minutes. Add the sauce to the chard mixture. Stir in the ricotta, cream cheese, cheddar and Parmesan. Taste and add salt and pepper as needed.
Transfer the mixture to a greased 9-by-13-inch baking dish. Sprinkle with some grated Parmesan and bake until golden brown and bubbly, 20 minutes. Serve warm with tortilla chips for dipping.