Specifically, 80–90% of Americans underestimate the prevalence of support for major climate change mitigation policies and climate concern. While 66–80% Americans support these policies, Americans estimate the prevalence to only be between 37–43% on average. Thus, supporters of climate policies outnumber opponents two to one, while Americans falsely perceive nearly the opposite to be true.
This is exactly what I was getting at; you said it better than I could. When the choices are laid out like “Should we save our future and have no negative impacts on your life whatsoever, or should we do nothing” of course the majority of people will support it.