Probably not because I just spotted something from that link that I find even more interesting: On the radios in the upper-right, switch to "policy support". There was a very sudden shift in 2013, from consistently down to consistently up.
...and now that I think about it, I think that might actually explain it: The sudden drop in the late 2000s might be due to the great recession. They may have accidentally measured "why do I care?" instead of "is it happening?", and maybe it took until 2013 for peoples' lives to stabilize enough to care again.
Post-Al Gore, it was “don’t believe your lying eyes”. That gradually pivoted to “climate change is happening, but it’s a natural cycle”. Eventually it will pivot to “meh” or “it’s gods will”.
It’s a pattern applied to lots of issues by the reactionary elements. It works because it’s easy to deny and subsequently concede small points. We’ve trained a generation to be adept at this online.
The good news is that even the most staunchly anti-climate-change group, conservative republicans, are nearly at 50/50 when it comes to whether it's happening at all.