I don't think JFBConnect is causing the link to the login page. I'm not sure how that would be caused by JFBConnect at all.
When you click the link, the login page has the following message at the top:
Message
You are not authorised to create/edit events
That seems to indicate that the link being clicked requires the user to be logged in. From the message, it sounds like the link is to edit or create events, not just to view them link the text indicates.
The link itself is to:
/my-events/list-my-event/icalevent_edit/0?catids=59|76|93|110|118|126|134
The fact that 'icalevent_edit' is in the link backs up my assumption that the link itself is incorrect and is to some sort of edit view.
I hope that helps narrow things down. If you still feel JFBConnect is the culprit, just let us know and we'll gladly help investigate further.
Thanks,
Alex