Place sun-dried tomatoes in a bowl. Bring 3 tablespoons water, balsamic vinegar, and sugar to a boil. Pour over tomatoes, let stand 10 minutes; drain and slice. Cook fusilli; reserve 1/2 cup cooking water. Cook mushrooms in olive oil in a nonstick skillet 1 minute without stirring. Sauté 5 minutes more or until brown. Add garlic; cook 1 minute. Add basil and sun-dried tomatoes; cook 1 minute. Add tomato sauce; bring to a simmer. Add pasta, 1/2 cup grated Parmesan, reserved water, meat from rotisserie chicken, and 3 cups arugula; toss. Transfer to serving bowl; add 1 cup arugula, toasted pine nuts, and 1/3 cup grated Parmesan.