They will probably round up and harness the Resurrected Ones and force them into labor camps. All the Resurrected ones deemed worthwhile and/or good enough to be allowed out will be--immediately. Especially if they have an immediate family member willing to vouch for them.
These Resurrected Ones will be running on Hamster Wheels keeping the electrical grid running. Also, any other utilities the Society sees necessary. Toilets anyone? It's going to be complicated.
If said family member does vouch and the Resurrected One falls short, the family member who made it through Armageddon will have to go to the labor camp and start working the wheel. The Resurrected One will be used as a back up unit when the family member needs to rest. Sucks for both.
Also, anyone who is seen as *weak* or a *bad association*, based upon attitude and spoken word, and could potentially not make it past the 1000 years, could also be used as a Hamster Wheel runner. This way the Elders and Former GB would have something to do and people to oversee.
They could then have electricity and forced labor. Similar to now.
Then again, there won't be a New System, will there?