For the kebabs: Whisk together the olive oil, garlic, ginger, lemon zest and some salt and pepper in a small bowl. Put the swordfish in a large bowl. Put the peppers, onions, zucchini and tomatoes in another large bowl. Evenly divide the olive oil mixture between the two bowls and toss to coat. Cover and let marinate for about 30 minutes to 1 hour at room temperature.
For the garlic aioli: Meanwhile, whisk together the lemon juice, mayonnaise, cilantro, parsley, garlic, mustard, vinegar and hot sauce in a medium bowl. Cover and refrigerate until ready to use.
When the fish and vegetables are ready, preheat a grill over medium-high heat. (If using wooden skewers, soak in water for at least 30 minutes before grilling.)
Meanwhile, thread the swordfish onto six 12-inch skewers. Thread the peppers, onions, zucchini and tomatoes onto individual skewers.
Brush the grill grates with oil. Place the kebabs on the grill, sprinkle with salt and pepper, and grill until lightly charred and grill-marked and the swordfish is cooked through, 3 to 5 minutes per side.
To serve, spread 1 to 2 teaspoons of garlic aioli on top of each pita. Place the swordfish and vegetables on top, drizzle with more garlic aioli, and sprinkle with cilantro and parsley.