05To assemble, sprinkle four browned tortillas with grated Monterey Jack. Arrange chicken slices evenly over the surface. Add pineapple slices and jalapeno slices. Sprinkle on cilantro. If desired, drizzle extra barbecue sauce over the top. Add second browned tortilla on top of each one. (You’ll have four complete quesadillas at this point.)
06Add to oven to warm, or back to skillet to warm, until cheese is melted. Cut each quesadilla into six wedges. Serve with sour cream, pico de gallo, and lime wedges.