Combine pesto and lemon juice in small bowl. Evenly brush beef steak with 1 tablespoon pesto mixture.
Place steaks on grid over medium, ash-covered coals. Grill, covered, 11 to 15 minutes (over medium heat on preheated gas grill, 13 to 16 minutes) for medium rare (145°F) to medium (160°F) doneness, turning occasionally.
Meanwhile, preheat oven to 425°F. Spray 10 x 15-inch rimmed baking sheet with cooking spray. Place dough on baking sheet and pat dough to edges of baking sheet. Spread dough with remaining 3 tablespoons pesto mixture. Top with tomatoes and cheese. Bake in 425°F oven, 15 to 18 minutes or until crust is golden brown.
Carve steak into slices; season with salt, if desired. Top pizza evenly with arugula and steak slices; sprinkle with red pepper, as desired.
Nutrition information per serving: 482 Calories; 126 Calories from fat; 14g Total Fat (4 g Saturated Fat; 2 g Monounsaturated Fat;) 80 mg Cholesterol; 573 mg Sodium; 49 g Total Carbohydrate; 8.8 g Dietary Fiber; 39 g Protein; 4.9 mg Iron; 10.6 mg NE Niacin; 0.6 mg Vitamin B6; 1.5 mcg Vitamin B12; 5 mg Zinc; 30.5 mcg Selenium; 102.6 mg Choline.
This recipe is an excellent source of Dietary Fiber, Protein, Iron, Niacin, Vitamin B6, Vitamin B12, Zinc, and Selenium; and a good source of Choline.