the actual error that the government is making, the root of the problem, is in thinking that class mobility is not just possible, but easy - and maybe even that some trivial tax adjustments will have some effect on it.
in fact, the actual empirical reality is that there is almost no class mobility at all in this society, and that what class mobility does exist is largely downwards.
what we need at this point in time is for the government to put a bigger emphasis on redistributive policies; increasing the number of poor people is not going to somehow lead to greater class mobility, but just exacerbate the problems around poverty that we already have.