I cannot see a "searchbar" on your blog wearing the Misty Look theme. What I do see is two RSS feeds which I believe can only be removed by purchasuing a CSS upgrade and CSS editing. Is it the RSS feeds that you are referring to?
Also are you aware you can create a custom menu? Since this feature is so new, not all themes support it yet but yours does. Currently, the following themes have this feature enabled: Twenty Ten, Structure, Vostok, Bueno, Enterprise, Notepad, Paperpunch, MistyLook, Under the Influence, Vigilance, Greyzed, Wu Wei, Blix, Cutline, Freshy, Contempt, Ambiru, Digg3, Koi and Modularity Lite.
See > http://en.support.wordpress.com/menus/
See also > http://onecoolsitebloggingtips.com/2010/06/17/custom-menus-arrive-at-wordpress-com/
Please post again so we can figure out exactly what you mean and help you.