And possibly the most unpopular union in the UK, too. I've parted ways with them, as have most of my friends. It's not because I disagree with their decisions, as much as they are completely impotent.
I do empathise; the BMA are stuck between a rock and a hard place, in that their members want better work conditions, pay rises that actually match inflation (shock horror), but the government just say no.
The difference between the other unions and the BMA, though, is the BMA go back to their members and say "the government said no, sorry", whilst the others say "so be it", and the strikes commence.
I'm not quite sure how I'd improve the situation if I was a BMA representative; it's complex. However, there is literally no reason currently to pay the membership fee.