I don't see how humanity could handle something like mass distribution of a magic treatment that allowed people to live to 1,000. The world would quickly get over crowded, resources would dry up, world wars would follow, and who knows what else.
All that said: Then if that happens, war will happen. I predict population will stabilize still (remember, accidents and unsolved diseases and violence and suicide will still kill). If it doesn't happen then we condemn the whole world to die.
I for one am for giving the chance for us or our children the chance to make it work, and find it overwhelmingly arrogant to think we know well enough to judge they won't handle it.