Preheat grill to medium-high heat and lightly oil the grill gate.
Begin building quesadilla. Start with a tortilla, sprinkle a thin layer of cheese, then bacon and chicken and desired vegetables. Add more cheese before placing the top tortilla on.
Grill until crispy and golden brown, about 4 minutes per side.
Repeat with remaining ingredients.
Cut quesadillas in wedges and serve.