Here is the simple, simple rebuttal to CO2 driven warming.
1. The oceans give off CO2 as they warm and absorb CO2 as they cool.
2. The oceans are the principal well for all CO2.
3. IF CO2 was a significant driver of temperature, the Earth would drive to one extreme or the other (with the maximum amount of CO2 released or absorbed) and stay at that extreme with no way to get back. In fact, it would be impossible for the earth to stay at any equilibrium in the middle.
I would think it would work the other way around.
Othewise, we would have had a runaway move into one extreme or the other by now.