Has reversing the active runway direction ever led to lined-up aircraft taxiing to the other end of the runway?
What you are describing does happen. The runway change is a major event at a big airport and it usually occurs once a day. This becomes a major transition because landing aircraft have to be switched to the other end. AND, areas served by a single approach control, the change has to be coordinated with the other airports. Note that lines of aircraft waiting to take off rarely occur unless the airport is very busy and has few runways.

Thus, the runway change generally occurs over time (half an hour). 

If there is a sudden, unpredicted wind change, generally, aircraft that are already at the "wrong" end of the runway are allowed to continue using it if they are able to do so.

So yes, aircraft will on occasion have to move to the other end of the runway.

I have seen this more frequently at busy general aviation airports than at commercial airport.