I, personally, have a hard time believing that producers and corporations aren't going to increase their prices to make up for this difference. Or take half of the price difference so they can say, 'look, its cheaper now!'.
AFAIK, the carbon tax was the foremost method from an economic pressure standpoint, to mitigate our carbon emissions. None of the other methods are as cheap to implement nor as economically evenhanded. Typically, higher income individuals emit more carbon, and thus are taxed more, meaning poorer individuals can actually make money off the carbon tax. That obviously doesn't account for things like inabilities to switch away from propane/gas furnaces, etc, but I don't know of another method that is as fair.