Whisk first 5 ingredients to blend in glass baking dish.
Add steak and turn to coat.
Let stand 1 hour at room temperature or cover and refrigerate overnight, turning occasionally.
Prepare barbecue (medium-high heat) or preheat broiler.
Drain marinade into small saucepan and bring to boil while stirring.
Grill or broil steak about 5 minutes per side for rare.
Transfer steak to platter; let stand 10 minutes.
Thinly slice steak across grain.
Pass marinade as sauce.
This recipe does not contain many non-starchy vegetables. To maximize your results, it is highly recommended that you eat at least three servings of non-starchy vegetables via a SANE side dish or green smoothie along with this main dish.