What do you mean: "Is our brain our consciousness?" This statement is about as vague as asking "Is planet earth evolution?"
And what do you mean with "independent"?
In my experience when discussing those topics it always helps to give examples or use thought experiments to clarify what you are talking about. Otherwise often people (due to different understanding of the terms used) are talking past eacher other. So please give a little more backround when using such general statements, or we can not have a discussion.
To the point: your consciousness is - as of current bioscientific understanding - a product of the coordinated interaction of billions of neurons. It is not(!) a "state" or an (static) entity. It is a process which enables your brain to reflect. Reflect about the zebra in front of you. Reflect about how to coordinate the hunt with your fellow tribesmen. Reflect about the social consequences in your tribe, if you talk with an outcast. And all the philosophy stuff we're talking about.
If you alter your brain, you alter the kind of consciousness it will generate. Someone else might be much more driven by random emotions or be much more controlled. So yes: "you" are your brain. No magic in that. But to make sense of this, you also should ask yourself, what this "you" - the "self" in "yourself" - actually is.
Also you should read up about the concept of "philosophical zombie" (I don't say I follow that concept - I am a physicist and given all knowledge we have about how brain damage alters your memories/beliefes/character/identity I think it is pretty clear, that there is no dualism involved).
Edited by TFC, 13 March 2016 - 09:50 PM.