Just to clarify, perhaps my point is not obvious. We want to have carbon taxes because they address the problem of economic externality in combusting fossil fuels. Different example of a similar tax, that aims to solve a similar problem: road tax; it's supposed to help finance maintenance of the road, which gets slowly damaged by each passing vehicle.
Now imagine somebody will lobby for a law that exempts certain vehicles (that rich people use) from the road tax. Would you then conclude, well, road maintenance is nothing than a power grab anyway, and we shouldn't do it? That doesn't make any sense to conclude that, and similarly, it is wrong to conclude that fighting climate change is just a power grab.