Hearts and minds are overwhelmingly in favor of restricting carbon consumption. The problem is that the polluting corporations control public policy.
I would agree that most believe in man-made climate change, but are divided on what to do about it. Ask them to stop flying, driving, and eating meat, and you'll reveal their true level of commitment.
If you cut worldwide air travel in half, then congratulations, you've reduced annual CO2 emissions by a whopping 1%. We should focus on the bigger polluters first, where the effort will have the biggest impact.