$jQ('#searchform').submit(function(e){
  //disable original action
  e.preventDefault();
    value2_1 = { a: 'a',b: 'b' };
    value2.push(value2_1);
    var values = { 'action':'my_new_ajax', 'value1':value1, 'value2':value2};
    //ajax request
  $jQ.ajax({url:ajaxurl,type:'POST',data:values,success: function(data) { //aAnswer
      var answer = $jQ.parseJSON(data);
      if ( answer.set_globals == "ok" ){alert("Globals are set"); } else { alert("Globals not set :("); }
        //grab current url w/ query vars
      var redir = window.location.href;
      //redirect to the current url to preserve origanal submit functionallity
            //NOTE: This redirect will cancel the above alerts...just comment out the line below to stop redirection
      window.location = redir;
    }
  }).fail(function(errorThrown) {  alert('error'); console.log(errorThrown); });
});