No, that's insufficient. Yes, corporations that cause the most warming will need to be curtailed if we're to survive. But those corporations are in the act externalizing costs. Once you force them to internalize those costs, the visible costs to consumers will increase, meaning less consumption overall. If you can't convince those consumers that less consumption is a good thing if it's in the service of saving the biosphere, then they're going to rebel against your efforts to properly force companies to account for the environmental costs of their products. There's no either/or here, it's the responsibility of both corporations and individuals.

I think the problem may be that consumerism is the only thing most people have left. Capitalism has already comodified culture, ground workers down to replacable cogs, and put home ownership out of reach. I think its reasonable for people to demand that some of those things be given back in exchange for abandoning consumerism.