I fixed this if anyone is interested, you can read about and download my fix here.
http://webdeveloper.gdemolished.com/joddit-global-css-fixed-for-wordpress-4/
So I fixed this issue. The problem is that this plugin is relying on the WP_List_Table provided by WordPress. According to the WordPress documentation, you should distribute the version of WP_List_Table your plugin needs with your plugin. WP_List_Table is subject to change and will break code that relies on it.
So I pulled down a copy of the WP_List_Table from 3.9.2 and included it instead of using the WordPress version, and it worked.
When I upgraded to WordPress 4, my stylesheets disappeared from the UI so I can’t edit them or create new ones.