jQuery UI is missing in all pages
jQuery UI is not included on every request by default. Drupal only adds it when it is requested.  You can ask Drupal to include the libraries you want on some or all pages with a custom module inside a hook_init or hook_preprocess_page.  Something like this would work:

function MYMODULE_init() {
  drupal_add_library('system', 'ui');
  drupal_add_library('system', 'ui.widget');
  ...
}


For a full list of all system libraries see the API documentation here.

Also, new versions of jQuery do not play nice with many system forms (views as you noted but also rules &amp; panels can have issues).  Newer versions of the jquery_update module have the option of setting a different version of jQuery for administration pages. You will probably want to set that to 1.5 (the version D7 ships with), or add the jquery.migrate script to your theme to allow older jQuery to run on newer versions.