There are multiple ways to test. The easiest, if you're using Google Chrome, is to go into the Developer Tools -> Settings -> Overrides area and change the "User Agent" to iPhone -- iOS6" (or some other mobile phone User Agent).
There are online tools and ways with other browsers to change your user agent as well.
I hope that helps, but if not, let us know the page you're testing on with the JFBCFan module and we'll gladly test in both cases as well.
Thanks,
Alex