In a medium bowl, combine shredded cooked chicken, BBQ sauce, honey, and hot sauce; stir until well-coated.

Heat olive oil in a skillet over medium heat and sauté sliced onions and bell peppers for 5 minutes until soft.

Lay a tortilla flat, sprinkle half with cheddar and mozzarella, layer with chicken mixture, vegetables, and cilantro.

Fold tortilla in half over filling and press down to secure.

Cook folded quesadilla in a skillet over medium heat for 3 minutes on each side until golden and cheese is melted.

Let quesadilla rest, then slice into wedges and serve warm.

Repeat with remaining tortillas and fillings.