Adam,
Thanks for the compliments on JFBConnect and the SCLogin module.
As to your issue, that's not a combination we had considered. We may have to look into breaking the avatar and registration into different settings, but we try to minimize things as much as possible.
To force the avatar to be for JomSocial, please edit the /modules/mod_sclogin/helper.php file. Around line 350, you'll see:
if ($registerType == 'jomsocial' && file_exists(JPATH_BASE . '/components/com_community/libraries/core.php'))
Just change that to:
That will make the avatar always come from JomSocial.
I hope that helps, but if you need anything else, just let us know.
Thanks,
Alex