In a small bowl, whisk together soy sauce, fish sauce, lime zest, lime juice and sugar. (If you think your fish sauce is very salty, start with 2 teaspoons; you can add more at the end if the dish needs it.).
Heat oil in a large skillet over medium-high heat. Add ginger, garlic, jalapeño and chopped scallion. Cook, stirring, until slightly softened, about a minute. Stir in turkey. Cook meat, breaking it up with a fork, until it is no longer pink, 5 to 7 minutes.
Stir in soy sauce mixture and cook for a minute or so, until flavors come together. Remove from heat and stir in basil. Scatter with sliced scallion greens. Serve, over warm coconut or regular rice, with lime wedges on the side.