Combine all marinade ingredients and let marinate for at least 2 hours or up to overnight. Before grilling, string chicken onto 4 skewers.
Heat grill to medium heat, when hot, grill on each side for 4 minutes, turning twice, for a total of 12 minutes.
Meanwhile, combine all the salad ingredients in a large tossing bowl.
Combine dressing ingredients through lemon juice. Slowly whisk in the olive oil to emulsify. Season to taste with salt and pepper.
Toss dressing with salad and let stand for 10 minutes to absorb and start breaking down the kale a bit.
Place equal portions of salad on each plate and top with a grilled chicken skewer.