It took me awhile navigating your site to figure out where Connections was being used… if you could provide direct URLs to the page in the future, that would save me a lot of time. Thanks!
Looking at this page I see you’ve setup the Names template to be used by default and you are using the Single Entry Template option. The later template seems to be set to the Default Entry Card template. Go to the Connections : Template admin page, click the Individual template type (at the top left of the page) and activate the cMap template. Do the same for the Organization template type.
Hope that helps!