HOG: you ask whether tax cuts for the rich do benefit the poor. The answer is, yes, they do for obvious reasons. The poor live off their labor, the rich live of their capital. It takes capital to create a job. It takes capital to provide for cheap mortgages which the poor can use to buy the houses they live in. It takes capital to finance trade deficits which enable the poor to buy cheap imported goods. And so on. High taxes discourage the rich to invest their capital in the US with the result that fewer jobs are created for the poor, mortgages become more expensive, the Dollar falls so foreign goods become more expensive etc etc.

Do you remember the Reagan revolution? It was based on two pilars. A huge tax cut for the rich and (to compensate for the lower tax revenue collected) more public debt. As a consequence, the Dollar became very strong (capital was attracted to the US) and it was "morning in America again". That happened a quarter of a century ago.

Cutting the payroll tax for workers will not create any new jobs. Better eliminate the part of the payroll tax to be paid by the employer. That will finance more jobs and/or lead to higher wages.

In order for the poor to do better in the long run, the best option is to increase savings. In this way, the poor become rich themselves and the dependence on the capitalist class will cease. That is the option pursued by Switzerland and many other small european countries.