Joomla 2.5.6, CB 1.8.1, Coolness 1.7.0...
Search module not functioning in 'inset' position, IE9.0.8.., Chrome 21.0.., Firefox 14.0.1, Safari 5.1.7
If 'Search Button' set to left and 'Search Button Image' set to no, magnifying glass icon appears and if you click on it the search box appears briefly, then disappears and the search page appears.
Also, on the search page the radio buttons and check boxes do not align with the labels.
Your demo works nice on all above listed browsers...