Sometimes decisions have to be taken in the national interest which have drastic consequences on a minority of the population. LHR is Britain's gateway to the world and as such this is a UK issue not an issue for West London only.
If we are happy to see our foreign trade and influence in the world continue to slip away as Amsterdam and Frankfurt airports grow then we should continue to do nothing. If however we want to continue to enjoy the high standard of living which we currently enjoy (despite the austerity we face) then we need a new runway at LHR. We needed it twenty years ago.
The thousands of people directly affected by the expansion of LHR have my sympathy, of course they do. Nobody wants to have their lives subject to such major disturbance. But the wider national interest demands expansion at LHR as it is for the greater good.