Slice steak into 1 1/2-inch pieces. Toss with orange peel; set aside.
Heat 1 tablespoon of oil in a large skillet over medium-high heat.
Add pepper flakes, onion, and bell pepper. Stir-fry until vegetables wilt.
Add broccoli and 3 tablespoons water; cover and steam 1 to 2 minutes until broccoli is cooked tender-crisp.
Remove from skillet. Cook fettuccine according to package directions. Stir together orange juice and soy and hoisin sauces.
Add remaining oil to skillet and return to medium-high heat.
Add the steak and cashews; stir-fry 2 to 3 minutes. Return vegetables to skillet with sauce mixture and heat through. Season with salt and freshly ground pepper.