I don't think BA crews will have either the public or other departments on their side, if things get sticky. Every summer for the last few years the public have come to expect some sort of BA staff strike. Considering most UK companies are downsizing their pensions I cannot see people saying flight and cabin crews deserve to get what they demand. I would go as far as saying Jo public will look unfavourably at crew greed.
Yes, it is an emotive subject, but I am still shocked at how the crew community fail to see how the aviation working world has changed and that things will get even tougher for them in order for their airline to stay afloat.