Place meat in a zip-top bag or shallow dish. Place vegetables in another. In a medium bowl, combine all marinade ingredients and whisk well. Reserve 3-4 Tablespoons of marinade for later use. With remaining marinade, add a splash to the vegetables (enough for a light coating) and the remaining to the meat. Marinate for 4-6 hours and up to overnight.
Preheat bbq grill (my preference), indoor grill pan, or large skillet. If you’re using a grill, place everything on at the same time. If using a skillet, slice peppers and onions first. Cook chicken for a few minutes on each side until cooked through and remove from pan. Cover with foil to keep warm. Add vegetables and cook until crisp tender.
Remove vegetables from cooking surface and slice. Slice meat. Toss with reserved marinade and serve.