Chop all ingredients into 1-inch pieces.
Thinly slice meats, cheeses, artichokes, roasted red peppers, and romaine. Roll and slice meats and cheeses into ribbons.
Halve cherry tomatoes, quarter mushrooms, and chop giardiniera lengthwise. Cube balsamic-grilled veggies.
Slice fresh basil into thin ribbons and shred Parmesan finely. Tear large mozzarella into bite-sized pieces.
In a small bowl, whisk vinegar, mustard, herbs, garlic powder, salt, and pepper. Slowly whisk in olive oil until smooth.
Toss salad ingredients in a large bowl with half the dressing, mix gently, and add more dressing as needed.