Allow showing the Quick Access Toolbar (QAT) items in the customization drop down menu (the quick access menu). This is the menu that shows the "Minimize the Ribbon" and the "Show below the Ribbon" options. 

The new feature should allow to display all items from the QAT in the drop down. Clicking an item from the drop down should show or hide it in the QAT.

The attached project shows one way to get this behavior with custom code.