Just a feeling.  In the episode when Bosco and his team are killed by Red John, Minelli suddenly resigns?  In first season, he goes on holidays while he suspends everyone for looking into a "friend of a friend of Red Johns", and someone logged in the DOJ system turns out to be Red John says "your doing a great job".  Every episode in later seasons that the bring Minelli back into the picture they are also closer to Red John.

It's almost like he wants Jane to find him.

The whole thing about Jane shaking his hand is a distraction.  We're watching for a specific example on camera. The hint doesn't mean that we have to see him shake hands.  He probably shook Minelli's hand when they first met.

Just my theory so far...or is it just "Horsesassary?"