Sweet and spicy and gluten-free, this casserole is similar to lasagna, but with the pasta layers replaced by roasted red peppers.
Arrange a rack in the center of the oven; preheat to 450°.
In a small Dutch oven or pot, heat the oil, three turns of the pan, over medium. Add the garlic. Cook, stirring constantly, until fragrant, about a minute. Add the tomato paste and chili paste. Cook, stirring constantly, until slightly darker in color, about a minute more. Add the wine, then the tomatoes and basil and bring to a bubble. Reduce heat to medium-low. Let simmer, stirring occasionally, until the flavors meld, a few minutes more.
In a shallow 12- to 14-inch-long baking dish, layer a third of the sauce, half of the peppers, a third of the Parm, 9 slices of ham, half of the provolone, and half of the parsley. Continue building the casserole with the remaining peppers, half of the remaining Parm, the remaining ham, and the remaining sauce. Top with the rest of the provolone and Parm. Sprinkle with the remaining parsley. Bake until browned and bubbly, 15 to 20 minutes. Let stand for a few minutes before serving.