Eh. I don't stock pile. I did, for a while, after 9/11 because I'm in NYC. A go bag for if I had to leave in a hurry and a stay box in case we had to hole up in the house for some reason. It all went bad or got really dented and banged up and I worried about it.) It just panicked me.
And I don't have the room to really stock pile. So I worry about what we'll need short term, not necessarily in an emergency but just due to every day life. For that, I stock up. Stuff like a couple rolls of TP and paper towels, extra pasta and sauce, extra oatmeal. It's basically the stuff that makes it a little easier if I don't have to worry about if we're almost out. And I do freezer meals too, so I have a few meals that I can get on the table easily.
Same thing with money. I have an extra $20 in a "secret pocket" in my wallet. It's not for an emergency really, it's for "oops! I have less cash than I thought but I need to buy an MTA card." kind of stuff. At home, we have a bit too, I guess it's $60 or so. Pizza money, laundry machine money, etc.
That said, I've decided that the kinds of things I have on hand that make every day life a little easier are also reasonable enough for disaster situations.