Won't help them if mixers keep the logs. See my original post.
Mixers won't keep logs. That's the whole point of mixing.
Some may for a short period, but any criminal organization is more than capable of running their own mixers. They aren't that difficult to set up.
You still haven't read my original post. I respect your persistence

Mixers that don't keep logs, will get blacklisted, so all coins you put through them will become "untouchable" too. Provided majority of bitcoin users will really want it.
How does anyone know which addresses correspond to coin mixers, and which mixers don't keep logs? There are a few we all know about, but probably some private mixers too. All it takes is one successful mix at any point in the future after the ransom has been paid.
How do you know your blacklist administrator hasn't been bribed by kidnappers or the NSA? Centralization = failure.
Why are we talking about hypotheticals? Right NOW there is a currency where the users unwillingly support the abduction and killing of innocent people. It pays for men with guns and predator drones to conquer whole countries and establish dictatorships. It takes from the poor and gives to the rich. Surely this bad PR would have destroyed it by now?