You are absolutely correct about heat and CO2. The fossil record shows the CO2 does follow temperature, with about an 800 year lag. There is no conceivable manner in which CO2 can be explained to be driving temperature changes given that data, drawn from the fossil record, and generally accepted as correct.

A further note on the statements by climate change alarmists that there is some kind of consensus amongst any kind of scientists in any discipline. First, every branch of science is wrong. Not one of them isn't filled with people trying to figure out why they are wrong in particular details. Second, while many scientists agree on many details, there are as many differing opinions amongst scientists regarding other details as there are scientists.

Science is a method of asking questions to find better explanations. It is not, and cannot, provide certainty of anything.