Thank you for all the inputs and ideas. I especially like the idea of giving us a preferred exit on final. That is the case at many other airports we used to fly into and it works well. Let's be honest though, I doubt we'll change the way things are done any time soon.
On the A320 it wasn't such a big problem, because you could taxi from both seats. On the B737 it gets a little trickier with the handover of control happening at about the same time as the clearance, much like what tescoapp described without the locking of controls of course.
Does anyone know if ICAO has any recommendations in this regard? I have tried to find any without any luck.