R. Gates you write “The reverse of this, that is, dissecting out the individual components is exactly what Foster & Rahmstorf and others have done to see the overall underlying signal of anthropogenic warming that remains. ”
The method adopted by Foster and Rahmsdorf works, IF AND ONLY IF you have a complete knowledge of ALL the efffects which change global temperatures. If you dont know ALL of them, then the answer you get is, at best, the maximum possible value for climate sensitivity. And since we dont know all the variables which affect global temperatures, the technique used by F&R gives nothing more that a useless guess.