All of our major political forces play games, constantly make moves in bad faith, talk out of both sides of their mouths publicly vs privately, so we are screwed.
The reality is that IF climate change science were a big hoax (sadly, it's not) there WOULD be a team using it for political games, so there will always be a large class of people who believe that's what's going on.
Maybe if we didn't spend decades politicizing every microscopic issue including in science, technology, and medicine, we could have policy makers advocate for positions based on science and everyone would trust it. That's not the world we live in and unfortunately, it looks like we never will.