Whisk first 6 elements in 13x9x2-inch glass baking dish. Add steak; flip to coat. Let marinate at room temperature 2 hours, turning sometimes.
Preheat broiler. Switch steak to broiler pan. Drain marinade from dish into medium saucepan; boil 3 minutes. Broil steak till cooked to desired doneness, about 4 minutes per facet for medium-rare. Utilizing tongs, switch steak to platter; let stand 5 minutes. Reduce crosswise into skinny slices and serve, passing cooked marinade as sauce.