Stir together first 10 ingredients; reserve 1/2 cup marinade, and chill. Pour remaining marinade into a large heavy-duty zip-top plastic bag. Add meat cubes; seal and chill 8 hours. Drain, discarding marinade.
Thread meat and vegetables onto 12-inch skewers.
Grill, covered with grill lid, over medium-high heat 16 minutes, basting with reserved marinade and turning often.