Clean and remove any brown or yellow leaves from the Brussels sprouts, then slice or shave them as thin as possible. You can do this with a knife but a mandoline slicer will make it MUCH easier. Add them to a bowl.
Remove the tough stems from the kale, then stack the leaves and roll them up like a cigar. Run your knife through them to make nice, thin ribbons, then add them to the bowl with the Brussels sprouts.
Drizzle with a tablespoon of olive oil, sprinkle with salt, then use clean hands to squeeze and massage the greens until they're fully coated with oil and have reduced a bit in volume.
Add the apples, toasted pecans, dried cranberries, cheddar cheese, and bacon.
In a small bowl, whisk together the shallot, apple cider vinegar, Dijon mustard, honey, salt and pepper. Slowly stream in the remaining 3 tablespoons olive oil and bacon fat while whisking until the vinaigrette is emulsified. Taste and adjust seasoning as needed.
Pour the vinaigrette over the salad and toss until everything is thoroughly combined. Serve immediately.