I support, but the idea that it can work as a cure all and all other decarbonisation programs will be rendered irrelevant is utopian fiction. For starters, the carbon price would have to be raised to pretty extreme levels.
At this point we know we're screwed on climate change and ecological degradation, the question is what if anything should be done about it. Any progress on this front is better than none at all.
A Carbon Tax will offset the negative externalities that affect the economy, but are not seen in the cost of products. I am fully supportive, but there MUST be a rebate of some sort, and some of the money should go towards investing in clean energy infrastructure.