Bring a large pot of salted water to a boil. Add the noodles and cook until al dente, about 6 minutes. Drain well. Divide among 4 serving bowls.
Meanwhile, heat 1 tablespoon oil over medium-high heat in a large saucepan. Add the mushrooms, snow peas, onion, ginger and garlic; cook, stirring frequently, until golden, about 2 minutes; divide among the bowls.
Return the same saucepan to the heat and stir in the remaining 1 tablespoon oil, the curry paste, curry powder and turmeric and cook for 30 seconds. Stir in the chicken broth, bring to a boil and cook for 3 minutes. Stir in the coconut milk, fish sauce and sugar. Return to a boil and cook for 5 minutes. Stir in the chicken and cook until heated through. Season with salt. Ladle the soup over the vegetables and noodles. Serve with lime wedges, jalapenos, cilantro and basil.