I think I saw this idea thrown out somewhere else than here but if it has been discussed before this thread can be forgotten.
Idea that I heard is to move timing line somewhere before the pit entry in the last sector for qualifying, reason is that with it being close to pit entry a driver don't have to complete slow lap among those cars that are in hot lap but he could steer right to pit. For example, if timing of the quali lap would start and end in middle of the corner previously known as Parabolica drivers could steer right to pits with practically no interference for those who start hot lap after them.
Only thing I wonder about this is that does the cars need to cool down after fast lap, are for example brake temperatures too hot if driver goes straight to pit from a fast lap? I would guess no since they can do pit stops at the race.