While I don't know any way to add "Programs and Features" to the Context Menu, I do know a way to create a shortcut for the desktop and Start Menu.
Follow these instructions: A) Create a Programs and Features Shortcut for the Desktop
On a blank space on the desktop, press right-mouse click and hover the mouse over New from the drop-down menu.
With the mouse hovering over New, select Shortcut from the next drop-down menu that appears. A "Create Shortcut" window opens.
Under "Type the location of the item:" type the following:
remembering to add a space between "exe" and "appwiz"
Type in the name for your shortcut, and click on finish
You can now use this shortcut to quickly access Programs and Features. B) Pin the Desktop shortcut to the Start Menu
Right-mouse click on your newly created shortcut.
Select Pin to Start from the drop-down menu.
That is it!! The item is now added to the Start Menu and is ready for use.
A CLSID is a globally unique identifier that identifies a COM class object. For more information about a CLSID key and the function of it's subkeys in the registry, then see CLSID Key (COM). This tutorial will show you a complete list of GUIDs from the CLSID key in the registry that can be used...
[HKEY_CLASSES_ROOT\DesktopBackground\Shell\Programs and Features]
[HKEY_CLASSES_ROOT\DesktopBackground\Shell\Programs and Features\Command]