1. Croutons: In a large skillet, heat 1 tablespoon oil and 1 teaspoon butter over medium heat. Working in batches, add one-third of the bread cubes, one-third of the salt, and one-third of the pepper; toss to coat. Cook until golden. Remove from skillet and set aside. Repeat process twice with remaining oil, butter, bread, salt, and pepper.

2. Salad: Place the garlic, anchovy fillets, salt, and pepper in a large wooden salad bowl. Using two dinner forks or a muddler, mash to form a paste. Using one fork, whisk in lemon juice, mustard, and egg yolk. While whisking, drizzle in olive oil and continue to whisk until emulsified. Add 1/2 cup grated cheese; set aside.

3. Add kale to bowl along with croutons and toss well. If desired, garnish with additional cheese. Serve immediately.