Maybe it helps you, and I don't know if that's the case for Italy, but here in Romania there are a couple of websites to which you can temporarily subscribe ("temporarily" meaning 7 to 10 days, can't remember exactly) and then you can train yourself on those test questions like you're during the exam itself. After 3 or 4 days of going through those tests again and again you're pretty much guaranteed to pass the police test itself, even if you haven't read the actual road legislation.
As for the bureaucracy I cannot offer any good advice, but maybe there are also some companies who can help you with that? (after paying them, of course).