Heat 1 teaspoon oil in a large nonstick skillet over medium-high heat. Stir in corn and crushed red pepper. Saut 2 to 3 minutes or until corn is lightly browned.
Add bell pepper; saut 2 minutes. Stir in chicken and green onions; saut 1 minute.
Remove mixture from heat; stir in oregano, cilantro, and salt. Wipe pan dry with a paper towel.
Sprinkle each of 4 tortillas with 1 1/2 tablespoons cheese, and top evenly with chicken mixture.
Sprinkle remaining cheese evenly over chicken mixture, and top with remaining 4 tortillas.
Place pan over medium heat and add 1/4 teaspoon oil. Carefully add 1 quesadilla, and cook 2 to 3 minutes on each side or until lightly browned. Repeat procedure with remaining oil and quesadillas.