Heat a grill or grill pan to medium heat. Place the ears of corn on the grill and cook until marked, about 3 minutes each side. Remove from the heat and let cool. Carefully cut the corn off the cob by standing it up and cutting down each side as close to the cob as you can. Dicard the cobs.
Lay four Mission flour tortillas out on a work surface. On only one half of each tortilla, distribute evenly the cheese, corn and chicken. Fold the bare sides of the tortilla over the filling to make half-moons.
Heat a large frying pan over medium heat. Add one tablespoon of butter to the pan and swirl to distribute evenly. Place two quesadillas in the pan and let cook until the cheese is just starting to melt and the underside of the tortilla is golden, about 4 minutes. Flip the tortillas over and cook until the cheese is completely melted, about 3 minutes more. Remove the quesadillas to a cutting board and repeat with the remaining two tortillas.
Cut each quesadilla into four equal wedges. Place on a plate and top with some of the Litehouse dressing and the Pace Picante Sauce. Garnish with cilantro and serve immediately.