As a passenger I realise that you won't necessarily agree with my point of view, but I want to give it anyway.
I work for a Company whose management style is confrontational at best. The MD's mantra is "I don't have to do it, I'm not going to do it". He gives his staff nothing and expects us to work any number of hours unpaid overtime in return. In short, I have every sympathy with you as BA Pilots.
However, this threat of action and this level of industrial unrest is doing the airline no good whatsoever. We have just returned from our annual skiing trip to the States, having left not knowing how/when we would be returning. From chatting to other holidaymakers there I can tell you categorically that the travelling public are not enamoured with BA. Shortly before we left for holiday there had been difficulties at the airport and passengers were told to fly without their luggage, whilst this was a fault of BAA and not BA, it was the airline that carried the can for it. I spoke with one family whose luggage had gone astray, and who then had to hire skis. I spoke with someone else who told me that an entire return flight to the UK had been cancelled, causing untold inconvenience to people.
I truly hope that you can reach a resolution with BA, but if this unrest continues, and if industrial action, or the threat of action, occurs in the future it will sound the death knell to BA. The paying public simply will not tolerate it.
In the past BA has had the monopoly on routes, this is set to change this year and the public will vote with their feet.