Yes, it's because you're using an older version of JomSocial. We recently updated the profile plugin to work with JomSocial's profile type feature which was introduced in JomSocial 2.0. After we released, we realized that it would break compatibility with older (1.6, 1.8, etc) versions of JomSocial.
To fix, please try the following change in /plugins/jfbcprofiles/jomsocial.php, at line 449:
Make sure you set the Profile Types to not show during registration, as that won't work. Also, please test! It's possible that will cause other problems, but hopefully, it should fix you right up.
Good luck,
Alex