I just feel that registering your wallet with the government doesn't really give anything away, and may lead to simplification of the use of Bitcoin. Of course you may elect to have an undeclared second wallet, and that would be your choice
Everyone has access to Bitcoin blockchain, that's the problem. For example: A + B = C, we have no idea what is A, what is B and what is C. We might know one of them, for example A, but we won't know exactly what is B or C. If we register our wallet with government, the government will basically know both, A and B and automatically C. If that database gets leaked, you are basically naked online (thanks to public blockchain).
Bitcoin has been designed in such a way the helps us have our privacy through the use of the blockchain technology with the bitcoin network
It's not really designed in a way to help us keep our privacy but I would say that some level of privacy is the side effect of Bitcoin. Monero is designed for having privacy protected.
I appreciate that the potential for apparent privacy with Bitcoin is an important issue for some, but it seems to be the major excuse that is used by governments to restrict and reduce the use of Bitcoin. My point is that by recording a wallet to allow the government to monitor activities, it may open up many opportunities, and avoid the draconian restrictions that they would like to impose. There is no need for the government to know your private keys, and access to them should only be granted following a high court order. This should only be granted following conviction for a criminal activity in my opinion. I find it better to take advantage of government incentives, and to maximise income and minimise costs. This is better than fighting, and winning pyrrhic victories.
It will open up opportunities but does the opportunities worth the cost that we will have to pay? Bitcoin was created to get rid of 3rd parties and if government takes the full control of Bitcoin, it automatically means returning to 3rd parties, so Bitcoin will be useless. Also, if the court will be able to order granting of private keys, basically words "you are your own bank when you use Bitcoin" will become meaningless.
P.S. We should never give up. Slaves didn't give up during terrible slavery, so why should people give up today?