Example of using xdomainajax plug-in to parse results from search page.

xdomainajax.js

var targetUrl = 'http://site.to.search.com/?query=' + encodeURIComponent(searchPhrase); // important to encode user input
$.get(targetUrl, function (res) { // relies on xdomainajax plugin
  var totalResults = $(res.responseText).find('#parse .the-results .per-usual').html();
});
window.open(targetUrl);