Heat a medium saucepan over medium-high heat. Add oil; swirl to coat. Add onion; sauté 3 minutes. Add curry paste, garlic, and ginger; sauté 45 seconds, stirring constantly.
Add broth and next 5 ingredients (through salt); cover. Bring to a boil. Reduce heat, and simmer 5 minutes, stirring frequently. Place half of squash mixture in a blender. Remove center piece of blender lid (to allow steam to escape); secure blender lid on blender. Place a clean towel over opening in blender lid (to avoid splatters). Blend until smooth. Pour into a large bowl. Repeat procedure with remaining squash mixture. Spoon about 1 cup soup into each of 4 bowls; top with 2 tablespoons peanuts and 1 tablespoon cilantro. Serve with lime wedges.
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