The culprit, it turns out, was a wordpress plugin we use to highlight code syntax for our blog posts called Syntax Highlighter ComPress. Deactivating this plugin solved our problem immediately. We did not investigate further into the actual cause of the conflict, but we wanted to put it out there in case anyone else finds themselves in the same boat.
If you have this admittedly rare issue, you no doubt still want syntax highlighting. We found that by installing WP SyntaxHighlighter (which uses the same engine) all of our posts were properly highlighted without the need to re-do anything and our carousel was back in action for Internet Explorer.