Whisk eggs & milk together vigorously, the milk makes the eggs fluffier. First cook chopped veggies till tender, add eggs, stir continuously so eggs don't burn.
Heat ham. Slightly warm tortillas. Assemble quesadilla's by placing a layer of cheese, then ham, then cheese, then egg, and cheese again on HALF of the tortilla. Fold over. Brown quesadilla's on each side on med-low heat with lid down, flipping once to brown each side & melt cheese.