There's a lot of not wealthy people who are polarized in that direction as well though. It's not simply a matter of sending a few oligarchs to the gillotine. In the short run, basically everyone in North America and Europe benefit from out destruction of the climate, and most people in other countries too.
To put it another way, the people who control the oil supply aren't simply wealthy because they pillaged and stole a bunch of people's stuff. The product they supply is extremely convenient and popular. You'd probably have an easier time fixing a world where everyone's a methhead than fixing the current problem.