I think you'll find we all "give a damn". It will be unpleasant to see passengers stranded (again!) and something I'd prefer to avoid. However, if my choice is between accepting what amounts to legalised theft from BA whilst getting a nice warm feeling as I walk through the terminal or having to work for the next x years knowing that I've well and truly shafted myself to the benefit of the shareholders and the management's bonuses, I'm afraid it's no contest.
Nobody actually wants a strike and it's far from a foregone conclusion but the decision will ultimately be made by the BA board.
Today, three directors including WW dumped £270k worth of shares between them so it looks like they realise we're serious.