Or give them a proposal they cannot refuse: let a CIAs venture capital firm such as In-Q-Tel buy them out and invest millions in them and pay them huge salaries. Make them sell their soul to the devil... (Facebook is the most known example)
http://www.businessinsider.com/25-cutting-edge-companies-funded-by-the-central-intelligence-agency-2012-8?op=1And reamake the technology so it benefits the interests of the government while people are falsly believing that they are liberated, instead government can easier trace them than they could do ever before... And the technology is now so widely used that you cannot stop using it even if you are aware you are being spied on. Can you shut down your facebook account? No, you will lose the connection to lot of friends, you will be isolated and alone. Because facebook is now a part of our life, and the government loves it since this is the best spying tool ever created.
just a few random facts,
TOR was developed by the US Gov't then released and made public where they continue to fund 50% of its costs(last a checked a year or so ago). Tor itself allows you to essentially hide a needle in a haystack with regards to communication. it allows you to communicate with people in other countries. the Govt's TOR would not work unless the public/world used it, there would be no 'hay' to hide their 'needles'. it also has the benefit of being publicly tested and secured as it is today.
To me that shares a striking resemblance to bitcoin and bitcoin fills the other half of a symbiotic role with it.
TOR: allows you to hide communication (at its start this wasnt the case because of a lack of users.)
Bitcoin: allows you to send (and later hide) money transfers.
those two combined are a govt's wet dream.
bitcoin as it stands doesnt have the user base or the stability to be of any use, but then neither did Tor when it started. Bitcoin can hide the source of a transaction, you just need a mixing service with a large enough user base.
If the gov't made bitcoin, they will have no reason to destroy it. even if they didnt make it, it could make sense to adopt its usefulness at a later date.
In the realm of speculation, it could be used to buy the country out of debt in the future if the gov't holds enough bitcoins and it catches on.
tldr. I dont think they will stop bitcoin, the same way they didnt stop Tor.