01 - Whisk together BBQ sauce, hot honey, smoked paprika, and garlic powder in a medium bowl until fully combined. Add shredded chicken and toss thoroughly to coat every piece evenly with the sauce mixture.
02 - Arrange tortillas on a clean work surface. Spread half of each tortilla with mozzarella and cheddar cheese blend. Distribute BBQ chicken evenly among tortillas, followed by diced red onion and fresh cilantro. Complete with remaining cheese layer. Fold tortillas in half to create half-moon shape.
03 - Melt 1/2 tablespoon butter in a large nonstick skillet over medium heat. Place folded quesadilla in pan, cook 2-3 minutes on first side until golden brown and cheese begins melting. Flip carefully and cook second side additional 2-3 minutes until cheese is fully melted and tortilla is crisped. Repeat process with remaining quesadillas, adding butter as needed.
04 - Transfer cooked quesadillas to a cutting board and allow to rest for 1 minute. This brief resting period prevents cheese from oozing out when cut. Slice each quesadilla into 3-4 wedges using a sharp knife.
05 - Arrange quesadilla wedges on serving plates. Accompany with sour cream for dipping, fresh lime wedges for squeezing, and additional hot sauce for those preferring extra heat.