There was this thing called
The Sixteenth Amendment
The Congress shall have power to lay and collect taxes on incomes, from whatever source derived, without apportionment among the several States, and without regard to any census or enumeration.
It permits the imposition of an income tax (on the rich or poor).
Of course there are those that believe it was never properly ratified by the states.
Abolish the 16th Amendment. Kill income tax.
Institute a national sales tax. Those who spend more, pay more, so the rich will still pay more, but creating and holding wealth will be promoted.
Shift Social Security and Medicare to individual control (and responsibility). I would even be willing to see a law that mandates long term savings for retirement and health care, but the individual decides how it is spent.
There, problem fixed!