So it is not really about reputation or violence being used against those who would "interfere" with the dollar (whatever that means). I would argue that the value of the Yen is more influenced by reputation than that of the dollar, since people tend to treat Yen as a "safe haven" during economic crises (but ultimately the Yen's value primarily follows from the Japanese government's ability to enforce its laws).
Also by the fact that the companies of the S&P 500, who are generally based in the US, account for a large portion of global transactions, which they tend to do with USD. If anyone wants to participate in the global economy, the USD often provides the least amount of friction in transactions.
The other most popular/useful/"valuable" currencies, per forex trading volume, are: EUR, JPY, GBP, AUD, CHF, CAD.
* https://en.wikipedia.org/wiki/Foreign_exchange_market#Tradin...
Disclaimer: A significant part of my investment portfolio is in Defi.