Unless TOR runs wires or a satellite signal to your modem from a private ISP then you are still sending traffic through your ISP (Which Government has LEGAL access to any time). Your original IP from your ISP may be invisible to online servers and networks but that is not the method the government/cyber security uses.
You login to bitcointalk.org they have your IP address.
You login to bitcointalk.org under VPN/Proxy they have a different IP address.
You use TOR...
All of the above still does not change the fact all of your communication is coming and going straight through your ISP.
The second lie is encrypted data... If you use windows, mac or ubuntu they have already all the access they need for an automated system to detect what you are doing. If you run huge illegal ops or just dont want the NSA in your ass and you use unlisted distros it still does not counter the fact that SSL has been decrypted and is now as useless as the Wireless WEP protocol and WPA alike. We just use it to deter intruders.
You can stay under the micro scope and get away without any action taken on you but to say you can do stuff secretly online while you are using ISP's that are designed to monitor what you are doing, the only solution is to not use an ISP that monitors you and here in the US there are very FEW left.
Chances are if cryptocurrency and mining are made illegal here in the US it will turn out like pirating. No matter what you do YES they can find out legally if you are but chances are if you only download a program or a movie or a new game a few times a year I can guarantee nothing will ever happen except a silly letter from your ISP saying they will shut you off.
The big mining farms that are actually using bitcoin for 100% of there income (bills, rent, food etc) will be hit no one will get away with operations this big in the US if it becomes illegal. Right now the way bitcoin is going it will have to be taxed by the government or they simply will not allow it to go on if it continues to grow and the market cap gets larger and more and more people start using it more. I don't want this to happen nor am I trying to spread fear or claiming bitcoin will fail you just have to realize the reality of our greedy stealing government. There is no way they will let this slide if there is millions to be taxed from it each year.