Index: wp-admin/custom-header.php
===================================================================
--- wp-admin/custom-header.php	(revision 20980)
+++ wp-admin/custom-header.php	(working copy)
@@ -96,6 +96,7 @@
 
 		add_filter( 'attachment_fields_to_edit', array( $this, 'attachment_fields_to_edit' ), 10, 2 );
 		add_filter( 'media_upload_tabs', array( $this, 'filter_upload_tabs' ) );
+		add_filter( 'media_upload_mime_type_links', array( $this, 'filter_upload_mime_type_links' ) );
 	}
 
 	/**
@@ -984,4 +985,8 @@
 		return $tabs;
 	}
 
+	function filter_upload_mime_type_links() {
+		return array();
+	}
+
 }