Theme doesn’t control search results on the results page, sadly, this is the classic “crappy results” built in to WP, AFAIK. There are some “better results” plugins in the WP plugin repository.
We use this on a Woo Canvas based site, works pretty well
https://wordpress.org/support/plugin/better-search
commercial plugin
http://www.relevanssi.com/
there are also hacks you can do to use Google Search as replacement for WP’s built-in search.
Thanks guys. Removing all the javascript, removes the search completeley, but leaves the search icon in the menu. I think it is fine to have the icon there but still make the search work. I looked through the javascript and just commented out of the main function you had suggested in removing:
//td_ajax_search_do_request();
This seemed to work removing just the drop down suggestions.