In short, it would seem that governments are trying eliminate the very thing that Bitcoin--and blockchain generally--was originally designed to accomplish.
Privacy and anonymity weren't the "first thing Bitcoin was originally designed to accomplish". Bitcoin was supposed to be peer-to-peer electronic cash, which can be used without the need of banks and third parties. Just read the whitepaper again. Does it mention anything about privacy and anonymity?
The BTC blockchain was never designed to be anonymous and private. Actually, the BTC blockchain is pretty transparent and transparency is a good thing, because it creates trust.
BTC mixers weren't a thing when the BTC blockchain was created. Why would the BTC blockchain be dependent on the existence of centralized third party services like BTC mixers?