In 3-quart saucepan, heat 4 cups water to boiling. Remove from heat; add noodles (push noodles into water with back of spoon to cover completely with water if necessary). Soak noodles 3 to 5 minutes or until noodles are soft but firm. Drain noodles; rinse with cold water.
Meanwhile, in small bowl, stir lime juice, 1/3 cup water, the brown sugar, fish sauce, soy sauce, vinegar, red pepper and 1 tablespoon of the oil until well mixed; set aside.
In nonstick wok or 12-inch nonstick skillet, heat remaining 2 tablespoons vegetable oil over medium heat. Cook garlic and shallot in oil about 30 seconds, stirring constantly, until starting to brown. Add eggs. Cook about 2 minutes, stirring gently and constantly, until scrambled but still moist.
Stir in noodles and lime juice mixture. Increase heat to high. Cook about 1 minute, tossing constantly with 2 wooden spoons, until sauce begins to thicken. Add remaining ingredients except cilantro. Cook 2 to 3 minutes, tossing with 2 wooden spoons, until noodles are tender. Place on serving platter. Sprinkle with cilantro. Garnish with additional chopped dry-roasted peanuts and green onions if desired.