In a high speed blender or food processor, purée cantaloupe and 1 cup of tofu. Add ginger, 1/4 teaspoon Tamari sauce, and a tiny small pinch of salt and pepper. Pour into a container and refrigerate cantaloupe mixture for at least one hour.
Rinse blender or processor and repeat the same process with the honeydew: purée honeydew with tofu, add mint, Tamari sauce, and a tiny pinch of salt and pepper. Pour into another container and refrigerate honeydew mixture for at least one hour.
To serve, carefully pour the two purées of the melons simultaneously in individual bowls. Use a knife, to delicately create a motif and garnish with mint or melons if you'd like. Enjoy!