I asked the site owner at disconnect.me of how to use this plugin while surfing in privacy/incognito mode since I use incognito all the time...its default....i got this reply
Hey Anupam, you have to explicitly enable extension to run in
incognito mode in Chrome. Right- or Ctrl-click the "d" button, pick
"Manage extensions...", click the arrow next to Disconnect, and check
the "Allow in incognito" box.
Thanks disconnect.me