Ok, styled it myself by copying the styles from the light menu. Any ideas on how to get the icon in front of the menu items as well?
h3.widget-title { border-bottom: 1px solid #eee; padding:6px 20px; color:#555; font-size:15px; font-weight:600; margin:0; margin-bottom:5px;}
ul.menu li a { font-weight:300; font-size:15px; color:#444; padding:6px 20px; display:block;}
ul.menu, ul.menu li { margin:0;}
ul.menu li a:hover { color:#428bca; background: #f9f9f9;}
ul.menu li.current-menu-item a { background-color: #337ab7; color:#FFF}