No, the ordinary people don't believe it. Many of those ordinary people are sensible right-wing people who read sensible newspapers like the Daily Mail, which asks a few questions about it all. The Daily Mail was one of the first newspapers in the world to expose ClimateGate, while many of the other media outlets maintained a strange silence. Clarkson doesn't believe it either, he is with the majority of the people.
Nigel Lawson is a leading right wing politician who doesn't believe it. You won't find many left wing politicians who don't agree with it. Many right wingers don't believe it and many ordinary people don't believe it, but nearly all left wingers believe it. It is left wingers who tell us "we have only 50 days left to save the planet". That is why I term it left wing. But, of course, the left wing are just actors, and the ultimate beneficiary is the billionaires.
The BBC champions an agenda. I think the agenda they champion is to the benefit of the elite, which is why they are able to maintain a licence fee paid for by the ordinary people, to enable the BBC to continue in its role as the nation's main opinion former. I am not surprised that Jeremy Hunt did not impose huge cuts on them and the huge salaries of many of their presenters.
We can only surmise what they imagine themselves to be. I don't think they are stupid, I think they are aware of what they are.