Combine mayonnaise, vinegar, olive oil, anchovy fillets, shallots, in a blender and blend until smooth. Season with salt and pepper to taste. Combine peppers, olives, garlic, thyme, parsley, vinegar, and honey in a mixing bowl. Season with salt and pepper to taste. Serve at room temperature. Preheat grill. Brush tuna with olive oil and season with salt and pepper to taste. Grill rare to medium rare. Drizzle with vinaigrette and top with relish.