Links At Top Of Edit Page

Made the edits shown below to wp-admin/edit.php so as to only show “My Posts” and remove other links on the ‘edit posts’ page. for users less than access level 4 .

Only editors & administrators can access the other links.
Subscribers & Contributors only see “My Posts” option

Is there any other way / plugin where I would not have to edit core wordpress files?

/*My Edit Start*/
global $current_user;
get_currentuserinfo();
if ($current_user->user_level > 4) {
/*My Edit End*/

	$status_links[] = "<li><a href='edit.php{$allposts}'$class>" . sprintf( _nx( 'All <span class="count">(%s)</span>', 'All <span class="count">(%s)</span>', $total_posts, 'posts' ), number_format_i18n( $total_posts ) ) . '</a>';
	foreach ( $post_stati as $status => $label ) {
		$class = '';

		if ( !in_array( $status, $avail_post_stati ) )
			continue;

		if ( empty( $num_posts->$status ) )
			continue;

		if ( isset($_GET['post_status']) && $status == $_GET['post_status'] )
			$class = ' class="current"';

		$status_links[] = "<li><a href='edit.php?post_status=$status'$class>" . sprintf( _n( $label[2][0], $label[2][1], $num_posts->$status ), number_format_i18n( $num_posts->$status ) ) . '</a>';
	}

/*My Edit Start*/
}
/*My Edit End*/