I dont believe that government will give importance in tracing someone using BITCOIN. Why? using BITCOIN is not actually required your complete identity which is requiring your BIRTH CERTIFICATE so you can register using dummy names, the important in having bitcoin wallet is when you buying using your fiat currency to Bitcoin digital currency so government have not interested in it. The goverment only focus on their economy to improve and protect it from any unregulated currency which cryptocurrecy is also present, the bitcoin is highly used for future improvement in dealing with money. Newly advance technology evolving in our generation today is the ICO'S.
Maybe the op is trying to say , how can someone trace us if we do any illegal acts that is against the law like scamming , hacking , money laundering , etc ...
It is also possible to trace bitcoin users becausw bitcoin isnt fully anonymous not unlike to any privacy coins like monero .
Now if someone is getting help from a government just to caught the theives , they can possibly link your btc address to other addresses connected thru it . but chances are they will only get dummy accounts and not the real one . so it is still nonsense.
To do this, you need to use many addresses, scattering through them the entire volume of the crypto currency.