Prevent Quick Editing on certain DOM elements
Is there a way to prevent quick edit from applying changes to anything
  within 


A quick fix is you can write a small jQuery snippet which gets trigger after QuickEdit apply its DOM changes. For example, suppose I do not want to allow quickedit on any node, i.e. it can be full display or teaser. Below code will find all article tags on page and remove its data-quickedit-entity-id attribute, so quickedit option won't be available for it.

$('article', context).removeAttr('data-quickedit-entity-id');