Chicken and Sweet Pepper Linguine Alfredo

9 - ounce package refrigerated whole wheat linguine

medium red sweet pepper, seeded and cut into thin strips

medium zucchini and/or yellow summer squash, halved lengthwise and sliced (about 2-1/2 cups)

packaged chicken stir-fry strips*

10 - ounce container refrigerated light Alfredo pasta sauce

finely shredded Parmesan, Romano, or Asiago cheese (optional)

snipped fresh thyme

freshly ground black pepper