Adam Lee asks and answers that very question:

My guess is that when life-extending technology is invented, the clerics and fundamentalists – the people most invested in religious belief – will denounce it as the ultimate violation of God’s plan, and will probably outlaw it wherever they have the power; but the vast majority of ordinary people, religious or not, will be clamoring for it. And I think this may be the wedge that splits religion once and for all.

Past and present moral struggles, like the revolutions in women’s rights, racial justice and gay rights, have diminished the moral authority of the churches that resisted them. But the impact of this one will be far greater, because it affects everyone.