The way that you defeat a system like this is to use it. Be humble, honest and calm, and go out of your way take the hits. But refuse to be blamed for things that aren't your responsibility. Force the problem people to do the same.
That undermines the system, as your putting the problem person in the uncomfortable position of taking responsibility for his actions. The whole point of "blame assignment" is to deflect blame from the golden children.
In my case, the blame regime lasted a few months. It collapses when the person pushing the regime is on the defensive too often.