Honestly, I don't think the US government sees Bitcoin as a threat to anything.
Cryptocurrency proponents have often indoctrinated themselves into thinking it is a powerful technology of world-shattering importance ("just give it time!"), but what if that just isn't so? Maybe it's just a cultish sideshow that's occasionally pushed up into fad territory.
Bitcoin is no threat to the U.S. We have an open capital account. If Congress made Bitcoin legal tender tomorrow virtually nothing would change overnight. (Hell, if Congress abolished the Fed tomorrow and switched to exclusively Bitcoin, we'd just have to dust off old central banking books from the specie days. We'd also enter a deflationary recession.)
For a capital controlled country, on the other hand, cryptos enable currency flight. Hence the lockdowns in China, Russia and India.
I believe the current US Gov strategy is to get entities submitting under their control to work in controlling bigger and bigger stakes of BTC. If they outright ban it before it is the case, they will create a scenario where people withdraw their BTC to private holding instead of using exchanges. The only way USGov comes out unscathed is if the exchanges are under its control and they control most of the BTC in the world.
However, I think even this scenario is not ideal for them, as BTC outside the system will be worth differently than the one inside USGov. The question will be which one will be worth more, and the bigger the diffference, the more the other BTC will flow in that direction
Think about it - Bitcoins stated aim is to remove government control of currency, something some governments have gone to war over. Yet bitcoin has relatively received very little attention from the US government.
I believe thats because while the US government sees bitcoin as a threat to their currency monopoly, they also see it as more of a threat to other smaller countries with weaker economies. Hence, overall it benefits the USA.