Heat the sesame oil in a large nonstick skillet over medium heat. Add the scallion whites, ginger, garlic and jalapeno; cook, stirring, until golden, 1 to 2 minutes. Increase the heat to medium high and add the turkey and 1/2 teaspoon salt; cook, stirring and breaking up any clumps, until browned, about 4 minutes. Add the water chestnuts, carrots, red pepper jelly and soy sauce; cook, stirring, until the carrots are slightly wilted, about 2 minutes.
Transfer the turkey mixture to a bowl, and top with the scallion greens and cilantro sprigs. Serve with lettuce leaves.
Combine the preserves, bell peppers, red pepper flakes, vinegar and 1/4 teaspoon salt in a blender; puree until smooth. Transfer to a small saucepan and bring to a brisk simmer over medium heat. Cook, stirring often, until thickened and syrupy, about 10 minutes. Transfer to a jar and cool completely. Refrigerate for up to 1 week.