Toss cabbage and ½ tsp. salt in a large bowl. Massage vigorously with your hands until cabbage begins to release water and soften, about 2 minutes (this will both season and tenderize the leaves). Drain; set aside.
Mix anchovies, lemon zest, lemon juice, vinegar, soy sauce, miso, and sugar in a large bowl; whisk in oil.
Add cabbage, celery and celery leaves, scallions, chile, cilantro, and turkey meat to bowl and toss to combine; season with salt.