Add the pistachios and caraway seeds to a skillet over medium heat and toast until fragrant, about 4-5 minutes. Add the honey and 1 tsp olive oil, stirring constantly until all seeds are evenly coated and begin sticking together, about 4 minutes. At this point the honey will have lost its moisture and there should be no more bubbling in the pan.
Transfer to a parchment lined baking sheet. Let cool for at least 30 minutes.
Meanwhile, remove the cores from the pears by cutting away the 4 sides. Cut each piece into â…›-inch thick slices. Stack the slices and cut lengthwise into matchsticks, again at â…›-inch thick.
Clean the kale and remove the stems by holding the ends between two fingers and pulling the leaves through your hands. Stack the kale and thinly slice about ¼-inch thick.
Cut the fennel in half through the core and thinly slice.
In a large bowl mix the remaining olive oil, champagne vinegar, lime juice, Dijon mustard, honey, salt, and black pepper. Add the kale and fennel, massaging gently for 1 minute. Add the fennel, tossing to coat with vinaigrette.
Just before serving, sprinkle liberally with pistachio.