Ofcourse they want.they know they cant stop or ban crypto so there is only one way to save usd which is take control of ceypto.
You got a point there but in my view its too late for the government of the united state of America to gain control over the cryptocurrency industry. They have been hash on the community, hash on their citizens for using cryptocurrency, they don't want to use decentralized exchanges around her territory, these sum up among others will not give them the enably environment to control the industry.
There have been speculations that they are likely to be the inventors of cryptocurrency, but until then, if they aren't the ones then they cannot control the cryptocurrency.