I placed the search form widget into a sidebar and it works great overall. The thing I hate most about this plugin is that !important is used in the jqueryautocomplete.css file, making it impossible to style without updating the file in the plugin folder. Can you please stop using !important so people can override styling in their theme's CSS file?
Lastly, the search results drop-down should be positioned absolutely from the search form, not the entire page. It looks like it also assumes a fixed size for the search form. Because of this and the fact that I increased the padding on the search form, the results box covers up a bit of the search form. Is there a way to fix this?