AJAX Callback

Actually you can manipulated the post query form the wp_query in the ‘ajax_wpqsf_reoutput’ filter.

I dont want to manipulate it, just want to grab the executed query to use it again in the background for another purpose.
I thought maybe it would be possible to store it in a hidden field via Ajax.
Other suggestion?

Sure, you can hold your $query in a place holder.
For example:

$data = $query;
//then you can use that $data for another purpose.

But how do I pass the $id?

add_filter('ajax_wpqsf_reoutput', 'customize_output', '', 2);
function customize_output($results , $args){

echo $id;

}