In a large mixing bowl, combine the yogurt, lime juice, olive oil, honey, garlic, and kosher salt. Whisk them together until the mixture is smooth.
Add the shredded red cabbage, thinly sliced shallot, and chopped cilantro to the bowl with the dressing.
Toss the vegetables together with the dressing until evenly coated.
You can serve the slaw immediately, or for the best flavor, cover the bowl and chill it in the refrigerator for about 30 minutes to allow the flavors to meld together.
