Well, make life afordable then, a simple solution. After that is achieved, make de-carbonated energy naturally cheaper than the carbon-based alternatives - there will be no need for carbon taxation and the right won't be able to mount a successful attack.
The problem isn't the affordability of life, it's the perception of affordability of life.
If Fox News spends $200M of screen time telling everyone that the tax is making all the prices of everything go up then that will be the predominant talking point.
That's the whole issue with "post truth" - perception _is_ reality at this point, at least effectively.