Ragemage
Wept for Zion
snip
House never mentions sending all humans into space. Earth has run out of resources essentially. We need new ones. Where's the best place for them? Space. What's the best way to acquire these resources? Build colonies on other planets, have these resources shipped back through trade convoys in space. Honestly given how terrible Earth is after the war, I feel like starting over in space would be the better solution, but maybe that's just me. I don't mean the whole planet mind you, send small colonies of humans to other planets to gather resources for home, eventually you have multiple "Earths" so to speak that can all trade, communicate, and interact with each other. With House's immortality technology mixed in with just about anything else he could create with unlimited wealth, I would imagine the trip to these other planets would be like a car ride on vacation.
Let's not forget that as long as your Courier has managed to crack the jackpot of the Sierra Madre, that unlocks the secrets of how to use those vending machines, through a voucher. Set up some of these on the space colony ships and basically no one would want again. With the right rigging those machines can make literally anything, even guns and ammo, as proven by terminals found around the Sierra Madre stating the military wanted to start using these.
Of course if your Courier wasn't able to crack the Sierra Madre and learn its best technological secret, then I could see how House's plan is fallible. But with those machines installed on every ship, able to make just about anything that can fit in it, it just seems foolproof.