Why should global warming taxes be also an instrument to rebalance wealth? That's exactly what discredits them when I push for them as a debate: The middle class feel very insecure about "redistribution".
The OP has responded to the problem of "push[ing] the five most marginal percent [..] into homelessness". Your blowing his modest proposal out of proportion when talking about rebalancing wealth. He only suggested to design the policy in a way that prevents the poorest to become homeless.