Using the large holes of a box grater, grate the peeled carrots into a large mixing bowl until you have about 4 cups of shredded carrots.
Add the golden raisins to the bowl with the shredded carrots and toss gently to combine.
In a small bowl, whisk together the mayonnaise, yogurt, honey, Dijon mustard, cumin, salt, and black pepper until the dressing is smooth and fully combined.
Pour the dressing over the carrot and raisin mixture, then use a rubber spatula to fold everything together until the carrots are evenly coated.
Stir in the chopped parsley, then cover the bowl with plastic wrap and refrigerate for at least 30 minutes to allow the flavors to meld and the raisins to soften slightly.