Custom taxonomy or custom page templates?

You could do it in a more dynamic fashion, with a simple get var, or you could get complicated and create some rewrite rules to parse your own URLs.

Here’s a quick and simple GET var method –

Say you have a taxonomy term at:

example.com/alcohol-spirit-type/gin/

This would show posts of both post types associated with the taxonomy term.

Now append a variable on the end for each of your post types to create the URLs you’ll filter, like:

// change these to reflect the actual registered names of your post types

example.com/alcohol-spirit-type/gin/?my_filter=cocktail-recipe

and

example.com/alcohol-spirit-type/gin/?my_filter=distillery

Now add a bit of code to the theme’s functions.php file to detect this appended variable and adjust the query accordingly:

function wpa54401_filter_pre_get_posts( $query ) {
    if ( isset( $_GET['my_filter'] ) ) {
        $query->set( 'post_type', array( $_GET['my_filter'] ) );
    }
    return $query;
}
add_filter( 'pre_get_posts', 'wpa54401_filter_pre_get_posts' );

Now visiting each of those URLs should give you only posts within each type.

EDIT-

Here’s a filter on taxonomy_template to return custom templates for the two new views:

function wpa54401_custom_taxonomy_template( $template ) {
    if ( isset( $_GET['my_filter'] ) ) {
        $template = dirname( __FILE__ ) . '/tax-' . $_GET['my_filter'] . '.php';
    }
    return $template;
}
add_filter( "taxonomy_template", "wpa54401_custom_taxonomy_template" ) ;

the templates should be named tax-{your post type}.php