**FullCalendar** is a nice find. 

Looks to me like you'll need to write **a shortcode** (which I show how to do here):

 - [**Adding an Archive of Posts to the Navigation Menu in WordPress 3.0**][1]

And then [**generate the code to call the FullCalendar within the shortcode**][2]. 

After that you'll need to write code to generate a Javascript array or have it references a JSON feed:

 - [**Full Calendar Events *(as an array)***][3]
 - [**Full Calendar Events *(as an json feed)***][4]

Here's code you can put into a standalone `.PHP` file which you could call `/fullcalendar-json-feed.php` or whatever you like. The code queries a custom post types called `event` which will run in the root directory of your website and will generate a JSON feed and it assumes you've got some [custom fields needed to populate the array/feed][5]. *(I'm going to leave the rest of the query and custom field details to you. **Note** I didn't actually test this with FullCalendar so it might take a bit of tweaking)*:

    <?php
    /*
    * See: http://wordpress.stackexchange.com/questions/1447/
    *
    */
    include "wp-load.php";
    global $wpdb;
    header('Content-Type:application/json');
    $events = array();
    $result = new WP_Query('post_type=event&posts_per_page=-1');
    foreach($result->posts as $post) {
      $events[] = array(
        'title'   => $post->post_title,
        'start'   => get_post_meta($post->ID,'_start_datetime',true),
        'end'     => get_post_meta($post->ID,'_end_datetime',true),
        'allDay'  => (get_post_meta($post->ID,'_all_day',true) ? 'true' : 'false'),
        );
    }
    echo json_encode($events);
    exit;

You can generate the array option with very similar code to that above. Still, this is going to take a bit of coding for you to get right. Maybe you just want to use a solution that's already built? Here's a Q&A discussion about calendars for WordPress:

 - [**Recommendation for a WordPress Calendar Plugin with Recurring Events?**][6]






  [1]: http://wordpress.stackexchange.com/questions/733/adding-an-archive-of-posts-to-the-navigation-menu-in-wordpress-3-0/772#772
  [2]: http://arshaw.com/fullcalendar/docs/usage/
  [3]: http://arshaw.com/fullcalendar/docs/event_data/events_array/
  [4]: http://arshaw.com/fullcalendar/docs/event_data/events_json_feed/
  [5]: http://arshaw.com/fullcalendar/docs/event_data/events_array/
  [6]: http://wordpress.stackexchange.com/questions/1155/recommendation-for-a-wordpress-calendar-plugin-with-recurring-events/