For me, the relationship betwen consciousness and thought is this: a thought is the shape that the stream of consciousness has taken at any given time.
When you think of a dog, that concept is what you are aware of.
When you think of peace, that feeling (or concepts associated with that feeling) are what you are aware of.
When you focus on a thoughtless, empty, state -- that is your current awareness. However, still a thought, according to my definition.
Consciousness is awareness, thought is the shape of that awareness. Simple.
So if we go by this idea, the only way to ever stop thinking would be to remove all filters from your consciousness. When the stream of consciousness is no longer being shaped by a filter (which is any conditioning factor in your mind), you no longer have a shape, and hence, no thoughts.
