Combine all the ingredients for the pear salsa in a medium bowl. Toss gently until well mixed. Cover and refrigerate.
To make the Quesadillas: Preheat the oven to 500 degrees. Brush one side of 4 tortillas with 1 tablespoon of the vegetable oil. Arrange the tortillas, oil side down on a baking sheet. Chop the frozen cheese into small cubes and distribute half a cup over each tortilla. Using a slotted spoon, spread 2-3 tablespoons of the pear salsa on top of the cheese. Place the remaining 4 tortillas on top and brush with the remaining vegetable oil. Bake until the cheese is melted and tortillas are lightly browned, about 5-7 minutes.
Use a pizza wheel or sharp knife to cut each quesadilla into 8 wedges. Drizzle with honey and serve with the remaining salsa.