Cook pasta in large pot of boiling salted water until al-dente. Wisk mayo and next 10 ingredients in small bowl until well blended. Season with salt and pepper. Transfer 3/4 cup dressing into large bowl, mix pasta and veggies. Can be made 1 day ahead. Just before serving add additional dressing in 1/4 cupfuls to desired. Stir in Parmesan cheesecake