Thinly slice the carrots into ribbons using a vegetable peeler or mandolin, including any remaining "stubs" of carrot. Soak in ice water until the ribbons firm up and curl, about 15 minutes. Drain and pat dry.
Whisk together the cilantro, olive oil, honey, 1/2 teaspoon salt and the lime juice in a medium bowl. Add the carrots along with the feta cheese, almonds and dates, and toss until evenly combined. Serve immediately, or let the salad marinate a bit before serving.