I think people consider the US dollar a stable currency, because it's "backed" (I really hate this word) by the US economy, is usable by anyone in an enforcing manner, and is minted by one entity* which supposedly tries to retain the value since it has complete control of the supply, and that's elected by the people "democratically".

However, this is not an advantage to begin with. It might look as an advantage, but in reality, you need to have your rights encroached to enjoy it. Same as with privacy invasion. Having less money laundering, tax evasion and terrorism is pointless if you're invading in every inch of privacy of all the citizens.

*I mean cash (M0), but a much higher percentage (~95%) of non-cash money (M1, collateral) is controlled by commercial banks, whose actions are ultimately controlled by the central bank (not government!) who have seen themselves somewhat elite lately?