I think the point of a carbon tax is for it to be passed on to consumers. You want consumer to factor in the environmental cost of their behavior when they make decisions. You could also make a carbon tax revenue neutral by lowering other taxes, so I don't see how that's a major problem.
If you want to see the major problem (hiding in plain sight), remove the moralistic component of anti-pollution policy by choosing a comparative hypothetical which yields no irrational self-preference on your part.
Suppose you want Americans to have formal mahogany dining room suites. You tax them for not having dining room suites. Does the tax magically increase their purchasing power? No. Tax does the opposite, in fact, which moves Americans farther away from your intended goal, while impoverishing more people. Even Obamacare isn't that stupid. Furthermore, the people who are most hurt by carbon tax don't pay other taxes, except payroll taxes and gasoline excise tax, the two forms of taxation Democrats refuse to cut, regardless of the rapturous socioeconomic consequences.
People are not making pollution for pollution's sake so directly taxing the unintended consequences of economic growth is pointless politicking, not efficient policy. The public need capital to purchase new equipment and resources so they can behave according to their current productive patterns, without generating as much pollution.
Sumptuary taxes are an incredibly lazy way for people to avoid developing real policy.