I think we are totally between a rock and a hard place on this. Because of the Moyes debacle and now the LvG debacle, unless he can drag us into ECL qualification, or win one of the Cups, we cannot possibly afford the risk of having Giggs as a successor next season. With Pep at City, only Mourinho can provide a high profile counter weight to that. Just ask the question, which top players will come and play under Giggs after this mess? Mourinho upsets people but he is a winner and has always had huge respect for United. He'd be able to attract the right players and re-build a successful side in a way LvG has failed to do. It would only be short term most likely but at least, hopefully, winning ways will have been restored and with it pride and respect. Not totally dissimilar to what the Doc did in the 70's. He also upset lots of people but boy did he get United back to winning ways after the devastation of being relegated.
However, this was not how it was supposed to be. LvG was to lay the foundations for a winning club over his three years with Giggs then taking over a stable winning team having served his apprenticeship. I believe Woodward still hankers after this scenario and would be prepared to snub Mourinho if somehow LvG can revitalise everything and see out his term. It's unlikely to happen now and soon Woodward will be forced, however reluctantly, into action.