Place kale in a large bowl. Add salt and 1 tablespoon olive oil, tossing together. Massage leaves for 2-3 minutes, until they become more tender and lose some volume.
Stir in the cabbage and walnuts.
In a small bowl, whisk together the remaining olive oil, tahini, lemon juice, tamari, and garlic. Add salt and pepper to taste.
Stir the tahini dressing into the slaw. Serve immediately or chill for 30 minutes to 1 hour to let flavors meld.