The omega theme bundled with the distribution includes the following in the html.tpl.php file:
<!--[if lt IE 9]><script src="http://html5shiv.googlecode.com/svn/trunk/html5.js"></script><![endif]-->
This trips ie8 and issues ssl warning for non-encrypted content when using https. A fix has been committed to omega-7.x-3.x-dev: https://drupal.org/node/1285654#comment-5849086.
Not sure if/how this would be included in the commerce distribution.