01 -  In a mixing bowl, vigorously whisk together eggs, milk, salt, and pepper until uniform and slightly frothy. 
 02 -  Melt 1/2 tablespoon unsalted butter in a nonstick skillet over medium heat. Pour in egg mixture and gently scramble, stirring frequently, until just set. Remove eggs from skillet and reserve. 
 03 -  Wipe out skillet. Lay one tortilla flat on a clean cutting board. Evenly spread ricotta cheese over the tortilla surface. 
 04 -  Distribute scrambled eggs, sharp cheddar cheese, chopped chives, and, if desired, diced red bell pepper atop the ricotta. Cover with second tortilla and press gently to seal. 
 05 -  Melt remaining 1/2 tablespoon butter in skillet over medium heat. Carefully transfer quesadilla to skillet. Cook for 2 to 3 minutes per side, pressing occasionally, until golden brown and cheese has fully melted. 
 06 -  Remove from skillet and cool for 1 minute. Slice into wedges with a sharp knife. Serve immediately while hot.