Lol the mixing algorithms? Umm ok. You can't predict something that is random. No two mixes are the same. Also, you seem paranoid. Backdoors? Give me a break dude.
There is noway of tracing the originating wallet ID through the "mixing algorithm". It is random and you can't reverse-engineer a random formula. But it is true that some of these mixers may be operated by the authorities. A number of dark market vendors got arrested during the past 2-3 years after the authorities were able to trace their transactions.