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Drush make can download the FullCalendar library, but I don't know of any way using Drush to move around folders that have been downloaded. The installation procedure for this module requires that fullcalendar.min.js is put in the immediate sub folder (eg. sites/all/libraries/fullcalendar/fullcalendar.min.js), which afaik requires manual work. This makes it difficult or impossible to create sites using FullCalendar with Drush make.
Allow using the original folder structure of the FullCalendar library, eg. reading from sites/all/libraries/fullcalendar/fullcalendar/fullcalendar.min.js.
Evaluate if this is a good idea (or if I just missed something in Drush make).
User interface changes