We've seen how Bestmixer got shut down by the authorities. They claim that Bestmixer encouraged money laundering activities which resulted in legal action.
This claim is substantiated by Bestmixer's page where it lists reasons why people should be using mixers in the first place. They basically advertised their service as a way to evade KYC and AML procedures with crypto, and the authorities justified their attack based on that fact.
Mixers are otherwise perfectly legal (which was acknowledged by a
blog of McAfee, a firm instrumental in the takedown) and I don't see that changing in the near future. Lawmakers don't ever talk about mixers and I would be surprised if majority of them knew mixers even existed. I could see mixers getting on their crosshairs if a single provider gets big and popular enough, but the service itself is so niche that even the most well known ones remain obscure to the general public.