Add the turkey, cheddar, cherry tomatoes, pickle, lettuce, and jalapeno (if using) to a large cutting board.
Using a large knife, chop everything together — rock the knife back and forth until all ingredients are in small, bite-sized pieces and well mixed.
In a small bowl, whisk together the mayo and red wine vinegar until smooth. Season with salt and pepper.
Transfer the chopped salad to the cutting board or a bowl, pour over the dressing, and toss well to coat.
Serve immediately in a bowl with a fork, or transfer to a serving dish and enjoy with crackers as a dip.