When the dough is ready, start assembling the pizzas. Preheat the oven to 375 degrees F.
Heat a large skillet over medium heat, add 1 tablespoon olive oil and once hot add the mushrooms and asparagus. Cook over medium heat for 5 minutes or until the veggies are just slightly cooked and softened. Season with salt, pepper and crushed red pepper. Remove from the heat and set aside.
Once the pizza dough is ready, lightly flour a counter. Use your hands or a rolling pin to roll the dough out until you have a flattened disk. Place the pizzas on a greased baking sheet and then use your hands to gently tug, pull and push the pizza dough into your desired shape. Drizzle at least 2 tablespoons of olive oil over the pizza dough. Add the chopped basil, garlic and parmesan, spread out evenly over the pizza. Add the mozzarella cheese and then sprinkle the veggies over the pizza. Break the burrata up over the top and then sprinkle with a little feta cheese.
Bake the pizza for 25-30 minutes or until the cheese is all melty and gooey.
Meanwhile add the arugula and sun-dried tomatoes to a bowl and toss with 1-2 tablespoons of the reserved sun-dried tomato oil, toasted pine nuts, 1 tablespoon balsamic, a handful of feta cheese and a pinch of salt and pepper, toss well and set aside until ready to use.
Remove the pizza from the oven and serve the arugula salad over top the pizza, or on the side. Drizzle the balsamic glaze over the pizza. Slice and EAT!