In the first place — why would 'blockchain' not survive? Blockchains will work totally fine without mixers and coinjoins and stuff. I'm all for privacy, but everyone simply isn't interested in it whether we like it or not. Only a minority cares about self-custody and being self-sovereign; a lot of people just want to use it just as an investment/hedge.
But this goes beyond mixers and coinjoins and stuff like that. The government is starting with this and soon enough they will start cracking down on other crypto related stuff. Right now they can still justify what they are doing in guise of concern over anonymity.
Next thing we know everyone is being checked and asked for their financial information.