Nice! I don't have 3D vision but I still 'get' the illusion but
  outside of that, I can relate. You can increase those moments of
  clarity with practice. Start expecting your senses to amaze you
  and they will show you things already there. I know it might
  sound like fluff, but it's something I do regularly, to increase
  my appreciation of simply being here, which is amazing to me at
  all.