We are quite distanced from all the slaughtering that is needed to place meat on our tables, and yes, this is the result of people being out of touch with the farming way of life. Most of us find the thought of blood repulsive. I think that since we don't see any slaughtering, we don't really internalise what an animal sacrifice is.
I have been mulling over the "Lamb"- though, I've read it several hundred times, and have even taught that Jesus was the sacrificial Lamb, but now, as I REALLY pondered, I felt my heart breaking for the innocent lamb that had to be made sin, for sinful man. I am fallen, and I feel sorry for a lamb which had to die for no fault - what about God the Father, whose very essence is love - He made His beloved Son a Lamb for my sake.
As I look at just this one verse, all I can see is God's deep passion for humans, His unbelievable love, the immense price He paid to give me life.