Cook and drain linguine as directed on package; cover to keep warm.
Meanwhile, in 12-inch skillet, place asparagus, carrots, mushrooms, sugar snap peas and 1/2 cup water. Heat to boiling. Reduce heat to medium-low; cover and simmer 4 to 6 minutes or until vegetables are crisp-tender.
Add shrimp; cook and stir 2 to 3 minutes or until shrimp are pink. Drain; return mixture to skillet.
Stir in Alfredo sauce, chives and lemon peel. Simmer uncovered 2 to 4 minutes, stirring occasionally, until mixture is thoroughly heated. Serve over linguine. If desired, garnish with additional chives.