The CAGW builds upon following argument: increased concentration of CO2 reduces the EM radiation's emission in frequencies that CO2 absorbs, ergo the surface temperature should rise in order to keep Earth's thermodynamic balance.
Increased temperature clearly affects the formation of clouds which have both positive and negative effects: they deflect incoming solar radiation, but also deflect surface radiation. The net effect is unclear, unfortunately.
I'm also quite puzzled by apparent lag between CO2 and temperatures in Vostok ice core data. Contrary to CAGW, temperature rises first, and CO2 follows.
My layman understanding is quite limited, of course, that's why eventually I go to the scientists for their expertise. I don't believe that all opponents of CAGW theory are shills; some of them are very respected people: Lindzen, Spencer, etc. My only conclusion is that science is not settled and CAGW is still an unconfirmed hypothesis.