Preheat the broiler. Heat the olive oil in a large nonstick skillet over medium-high heat. Add the onion and frying pepper and cook, stirring occasionally, until slightly softened, about 5 minutes. Add the garlic and beef and cook, stirring occasionally, until the beef begins to brown, about 3 minutes. Add the parsley, 3/4 teaspoon salt and 1/2 teaspoon pepper and cook, stirring, 1 more minute. Meanwhile, line a baking sheet with foil. Place the pitas on the prepared baking sheet and sprinkle each with 1/4 cup cheese. Top evenly with the beef mixture and the remaining 1 cup cheese. Broil the pizzas until the cheese melts, about 2 minutes. Top with the cherry peppers and cut each pizza into quarters.