Your analysis of the Bretton Woods System (BWS) and the role of gold in it is completely wrong.

FORBES: Our Fiat Dollar Has Cost the United States $80 Trillion

The gold exchange feature of the BWS only applied to international exchanges, it had nothing to do with domestic economics.

FORBES: Our Fiat Dollar Has Cost the United States $80 Trillion

First, US currency as it was used for 99.9% of economic transaction was never tied to the BWS much less gold.

FORBES: Our Fiat Dollar Has Cost the United States $80 Trillion

The gold exchange aspect of the BWS was one way, foreign members could exchange their dollar for gold (at a fixed price) but not the other way around.

FORBES: Our Fiat Dollar Has Cost the United States $80 Trillion

Second, the problem that the BWS was attempting to address was a lack of US dollars outside of the US. Following WW II, with the economies of the rest of the world in shambles, a great many countries needed to trade with the US. How could foreign countries trade with the US if they did not have dollars?

FORBES: Our Fiat Dollar Has Cost the United States $80 Trillion