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.
I don't really think its false at all. While 66-80% whatever might claim to support the policies, once it comes down to "brass tacks" and the powers that be start to wail about how "expensive" everything is I immediately expect that number to plummet.
Even less of the percentages they claim realize that the only true "solution" to climate change is either extinction or socialism.
This is just how most issues are though. Public support swings wildly depending on how the question is phrased and once you propose a specific solution and enumerate its consequences, almost no one supports it