Andy,
I'm sorry for the delayed response. I just took a look at your page and I can see the issue when using a mobile browser. However, the Login area is not controlled by JFBConnect and you are not using our SCLogin module.
The login area l see looks to be from your template. You'd need to contact your template provider to understand why the standard Joomla login buttons aren't displaying there like they shouldn't be. If you feel JFBConnect is the cause of the missing Joomla login credentials, please help explain why and we'll gladly help investigate further.
Thanks,
Alex