Let me just go on the record as saying it will have to be pretty dire straits before I'd be out scroungin' for grubs and leaves like an animal. Yes, it can be done, and yes, I know a some (not all) about wild edibles. However, I do not share the view that nature is some all-you-can-eat buffet. Living like that would be miserable, at best. But for the sake of playing along with the scenario...
If it were only my house that were looted, I would beg or barter with my neighbors. That's assuming the S had not totally hit the F. Now if it had, and we were living in the PAW, and I had bugged in to my home here in Expendable Acres, I would think that I wouldn't have a lot of neighbors left. I'd be scroungin' like never before, looking for goodies left behind by everyone who had bugged out and couldn't carry everything (or been raptured, leaving heathens like me behind).
Seriously, my stockpiles are there to buy me some time to get my garden going full bore. My plan is once the other shoe drops (or the balloon goes up... pick your metaphor), I would begin fishing, gardening, etc. Once my stockpiles are somewhat deleted, I would (hopefully) have a good start on self-sufficiency. If I lost those stockpiles, I would have to start fishing a little earlier than planned.