Yes, that is the correct plugin. To duplicate the problem, install the calendar plugin, install Layouts, create an event with the plugin, and try to view the event from the front-end. When you view the event the page will not render correctly. My assumption is because the Events Calendar is using a page template to display the content, but this template is not being used with Layouts.
The event-single.php is located at: /wp-content/themes-ai1ec/vortex/event-single.php
There is also single.php which may be the actual file that renders the page: /wp-content/plugins/all-in-one-event-calendar/app/view/event/single.php
I think my question is also: is it possible to use Layouts.with other plugins that require a page template? If so how do you select which page template to use?