Custom post types instead of regular post’s categories in a page template

I believe the problem is how you are using this code:

$args = array('post_type' => array( 'make', 'model', 'price' ), 'showposts'=>100, 'orderby'=>'date');
$type_posts = new WP_Query($args);

You may want to change it to something like this:

$args = array('post_type' => array( $post_type ), 'showposts'=>100, 'orderby'=>'date');
$type_posts = new WP_Query($args);

So that it only grabs posts for that post type in your foreach loop that loops through each post type.

Hope this helps.