An honest critique of your argument might require a more nuanced understanding of the historical timeline and context of events:
A preamble, in practice, is typically an ambiguous statement of noble platitudes and banalities chosen more for poetic license than as applicable rule of law.

 Modern Americans often roll our eyeballs when we read that Jefferson penned a Declaration of Independence stating “all men are created equal” while his slaves were toiling on his tobacco plantation.

The Constitution was written 136 years before any New Deal redistribution schemes were created; there wasn’t any peacetime federal income tax until after 1916. To say that a 1787 preamble is a blank check to categorize modern entitlement programs as constitutional rights is an absurdity that no credible court would propose.