Registering wallet with the government is not a good idea, especially since there is usually a change of people in government when their tenure are over. Other reasons are:
1. The government will become a third party to your wallet, in which a corrupt official can give info to fraudsters and empty one's wallet.
2. The government may impose ridiculous tax on bitcoin traders.
3. There will be no privacy to your wallet since the government is involved.
Those are brilliant points, but apart from that, if government are given the mandate to organize registration for Bitcoin wallet, then that means the sole purpose or ideology of Bitcoin has already been jeopardize, because just as Bitcoin stands for anonymousity and privacy of fund, if government are now given access to wallet registration, it literally means they will now have full control, which is of no different than what Is been done with our traditional fiat banking system. Because thou Bitcoin exchanges are regulated, and yet offers limited access to fund uses and activity tracking, it doesn't mean it was meant to be a tool of control by the government. Bitcoin is independent digital currency, and it will be good if it's Left to remain that way.