Combine iceberg lettuce and radicchio into a serving bowl. Add meats and cheeses and toss.
Add pepperoncini peppers, heart of palm, chickpeas, cherry tomatoes, cucumbers, and celery to salad. Toss with other ingredients.
To make the dressing, combine red wine vinegar, honey, lemon juice, basil, oregano, garlic powder, and salt in a small mixing bowl. Stir ingredients well. Slowly whisk in olive oil until ingredients are thoroughly mixed.
Pour red wine vinaigrette over salad, toss, and enjoy!