`wp_editor()` CSS messing up the jQuery Dialog

I have a custom admin page that includes both the user of wp_editor() and a jQuery dialog.

For reasons unknown to me, the instance of wp_editor() uses some of the same css class names as dialog, and one in particular (ui-widget-overlay) is messing up my jQuery dialog. I’m unable to interact with the dialog due to the z-index of the overlay as set by editor.css, and the overlay is darker, with a stripe in the middle.

Has anyone encountered this issue before? If so, how did you work around it?

function do_refreshing_invitees_dialog(){
?>  
    <script>
    $(function(){

        /**
         * The 'refresh invitees' dialog
         */
        $('#refresh-invitees-dialog').dialog({
            autoOpen: false,
            closeOnEscape: false,
            draggable: false,
            height: 140,
            modal: true,
            resizable: false,
            open: function(event, ui){ 
                /** Hide the 'x' close button */
                $(this).closest('.ui-dialog').children().children('.ui-dialog-titlebar-close').hide();
            },
        });

    });
    </script>
    <div id="refresh-invitees-dialog" title="Refreshing Event Invitess">
        <div id="dialog-spinner" style="float: left; margin: 17px 10px 0 0;">
            <img src="<?php echo $this->loader_path; ?>ajax-loader-bulk-dialog-invitees.gif" />
        </div>
        <div id="dialog-message">
            <p>Please wait while the refreshed invitee's are generated...</p>
        </div>
    </div>
<?php
}