Hardly. Bin Laden's aim was to end the "corrupting influence" of the western world on the Islamic world, and to achieve that by getting the US and other western powers to withdraw from military, economic, and cultural interaction with the Islamic world.
As far as what happened within the western world, whether it destroyed itself or continued on in some aspect, he didn't much care (at least in the short-term, in the long-term I'm sure he believed that the whole world would be under the power of a new Caliphate).
As far as what happened within the western world, whether it destroyed itself or continued on in some aspect, he didn't much care (at least in the short-term, in the long-term I'm sure he believed that the whole world would be under the power of a new Caliphate).