Preheat oven to 500°F. Coat a large baking sheet with cooking spray. Press dough into a 12-in. circle onto the pan. Bake for 8 minutes.
Brush dough with oil. Top with squash ribbons, mozzarella, bacon, and Parmesan. Bake 6 to 8 minutes more or until cheese is melted and crust is golden brown. Sprinkle with basil leaves.
Using a vegetable peeler, cut zucchini and squash into ribbons.
Crisp cook bacon. Drain and refrigerate.