just some random token associated with a node that is the same for all nodes controlled by the same actor and different for nodes controlled by different actors.
This is not possible. Its not even possible to **define** this problem because you cannot come up with a definition for "actor" or "controlled". And its not needed anyways because Satoshi invented the block chain.
I have to agree. It might look, superficially, as if such a system should work, but I wouldn't trust it as far as I could throw it.