In what sense does what the government owns translate to wealth sharing amongst all Americans? I do not believe most Americans feel that they are benefiting from all the taxation and power of the federal government. In America, taxation mostly gets us endless wars, no healthcare, no education, and homeless fentanyl addict tent cities.
Discussion
If the government owns bitcoin then they are more likely to repay their obligations (treasury bonds) without having to debase everyone that holds dollars. They also become capable of funding their projects without having to tax as much.
