I had to remove these lines in order for this to work without the admin of the site having to log out before commenting:
<?php if ( $user_ID ) : ?>
Logged in as /wp-admin/profile.php"><?php echo $user_identity; ?>. /wp-login.php?action=logout" title="<?php _e('Log out of this account') ?>">Logout »
<?php else : ?>
And at the bottom of the template:
<?php endif; // If registration required and not logged in ?>
Since this theme is based on the Kubric theme I don't understand since I briefly used Kubric and never had any trouble. For some reason if the admin was logged in it would not show the name/email fields-it just showed you were logged in and could log out. Strangely enough I'm not that great with php but I managed to figure this out! So if anyone else has this issue-removing these lines worked for me. And thanks for your help!!