Personally I believe that our soul is an integral part of who we are (it IS who we are) and our physical body houses it during this life. While we are alive our physical body is very important to us - we experience the world through our senses, we connect with our loved ones through touch and (very importantly!) our body allows us to grow and birth beautiful babies. We most definitely feel the affects of any physical ailment or disability. However when someone dies I think that is the moment that their soul departs the body, the body's work is done and so in this way I feel that organ donation doesn't affect the completion or wholeness of the soul.

JMO for what it's worth

PS: this might seem a little contradictory, but I sometimes feel the same way about donating my eyes as Sammiejane does!