The social toolbar only shows to Super Administrators by default. If you go to the JFBConnect admin area and click the "Options" button in the top right, you can change the user groups that are allowed to see it if you want more/less user-types to have access to it.
Unfortunately, Joomla doesn't allow you to deny a Super Admin access to any features, so you can't disable it for super admins. There will be an option in JFBConnect v6.1, due out in June, to disable the toolbar completely. If you want the minor code change to implement that will remove that toolbar now, just let us know and I can gladly provide it for you.
I hope that helps explain, but if you have any questions, just let me know.
Thanks,
Alex