Can I transfer the BTC from my current address, to an address that no government can ever link to me?
If the fund is coming from an exchange and you do a normal transfer then the government can easily track the owner of the Bitcoin funds unless you use a privacy coins.
I do not think that it is reasonable for the government to impose tax to those who are just holding Bitcoin. As far as I know only transaction that yields profit are taxable. Those trades where the trader losses are tax exempted so as long as your Bitcoin holdings does not give you a profitable transaction there is no way the government will impose income tax on it.