Try removing the following code lines from plugin forumhome_code lines at hook forumhome_start:
at/near line 91
PHP Code:
" . $query_join . "
at/near line 93
PHP Code:
WHERE " . $where_add . ".userid = " . $vbulletin->userinfo['userid'] . "
This should show all groups, but will render the other options useless.
I would advise against making that change if you have a more than a very reasonable number of groups.