Limit taxonomy terms to CPT

I have multiple custom taxonomies attached to multiple custom post types.

For example I have the tax “genre” attached to the cpts “movies” and “songs”.

In the movie overview page I am using

the_widget('Taxonomy_Drill_Down_Widget', array(
'title' => '',
'mode' => 'dropdowns',
'taxonomies' => array( $taxonomy1,$taxonomy2 )
));

where taxonomy1 is genre.

In the dropdown I want to show taxonomy terms which are in the cpt “movies” only. At the moment I am getting all terms from all the cpts.

Is it possible to limit the taxonomy terms to the current cpt only?

Thanks a lot!

https://www.ads-software.com/extend/plugins/query-multiple-taxonomies/