Remove skin in strips working around melons. Halve melons and seed with spoon. Chunk melons and place pieces in food processor. You will work in 2 batches. Fill processor 3/4 full.
Add 1 tablespoon sugar, the juice of 1/2 lime and about 3/4 cup spring water. Pulse grind them process soup until smooth. Adjust sugar to your taste and pour soup into 2 bowls, repeat process. Top each soup bowl with kiwi and raspberries and serve.