Education can be divorced from indoctrination. An educated person can display particular skills and knowledge, they don't need to believe that knowledge.

(See, e.g., Einstein displaying knowledge of quantum mechanics without actually believing it, or assorted creationists who actually understand evolution.)

I think your claim that criminality is the best measure of knowledge is interesting. Among other things, it suggests that the best way to increase knowledge might be to shut down the education system and implement a police state. (For the cost of the current education system we could increase the number of cops/courts/prisons by a factor of 6.)