01 - In a medium bowl, combine sliced chicken with olive oil, chili powder, cumin, smoked paprika, salt, and black pepper. Mix thoroughly until chicken is evenly coated with seasonings.
02 - Heat a large skillet over medium-high heat. Add seasoned chicken and cook for 5-6 minutes, stirring occasionally, until fully cooked through. Transfer cooked chicken to a plate and set aside.
03 - In the same skillet, add sliced bell peppers and onion. Sauté over medium heat for 5-6 minutes, stirring occasionally, until vegetables are tender and slightly caramelized. Remove from heat.
04 - Wipe out the skillet with a paper towel. Return it to medium heat and melt 1/2 tablespoon of butter.
05 - Place one tortilla in the skillet. Sprinkle one-quarter of the combined cheddar and Monterey Jack cheeses over half the tortilla. Layer one-quarter of the cooked chicken and sautéed vegetables on top. Fold the tortilla in half to enclose the filling.
06 - Cook for 2-3 minutes per side, gently pressing with a spatula, until the tortilla is golden brown and the cheese is melted. Transfer to a serving plate and keep warm. Repeat with remaining tortillas, filling, and butter.
07 - Slice quesadillas into wedges and serve immediately with sour cream, salsa, fresh cilantro, and lime wedges on the side.