I also think, with the setting situation, that, granted the main powers would be far less powerful than before, it wouldn't actually affect the regular Joes in the wastelands much beyond grieving for their lost ones and then adjusting to yet another miserable, soul crushingly uphill way of life. They're pretty downtrodden as it is, they'd probably see it as another speed bump in life's road. 

As for the BoS, they may have called in reinforcements from beyond the Capital Wasteland to account for still have a decent presence, who knows? 

Its worth seeing where it goes. I figure people have a good enough handle on things. 

I'll work on a post this evening, might be slightly delayed due to prior engagements at the pub, but should be up soon.