Heat oven to 450°. Coat large nonstick skillet with cooking spray. Cook sausage over medium heat, breaking into crumbles, until browned and cooked through. Pour off drippings; return to heat. Pour eggs over sausage in skillet. As eggs begin to set, gently pull eggs across pan with an inverted turner, forming large soft curds. Continue cooking, pulling, lifting and folding eggs, until thickened and no visible liquid egg remains. Do not stir constantly. Remove from heat.
Spread 2 T. pizza sauce on each pita bread; place on baking sheet(s). Top with eggs and cheese, dividing evenly. Bake in 450° oven until cheese is melted, about 5 minutes. Sprinkle pizzas with crushed red pepper and dried oregano leaves.