Mixers are hardly the only form of dealing with anonymity. We have multiple privacy coins and ways of getting in and out of them that do a very good job of dealing with the problems you mention if you are concerned about mixers for some reason.

Somehow, people in China still manage to get on the internet, how do you think that happens? As it happens, the internet was designed to route around censorship, and it's done a very good job so far.