Heat the oils in a large skillet or Dutch oven over medium heat. Add the garlic and ginger and cook for 1 minute, stirring. Add the mushrooms, carrots, and peas with 1 teaspoon salt and ½ teaspoon pepper. Cook, stirring occasionally for 3 – 4 minutes.
Add the curry paste and cook, stirring for 1 minute. Add the broth and coconut milk. Raise the heat to medium-high and bring to a simmer. Add the noodles and cook for about 5 minutes or until the noodles are tender. Stir in the lime juice. Season to taste with salt and pepper.
Serve garnished with peanuts, cilantro, and lime wedges.