I was raised mostly by my grandparents, who grew up during the Great Depression, so I think that had an effect on how I view things, also during my late teens and early twentys I was homeless a few times and also had to go for pretty long lengths of time surviving on very small amounts of cash and that all also changed influenced the way I think about things.
Now whenever I go grocery shopping (usually once a week) I always buy at least one low dollar item to throw in the emergency stash. Either a can of Spam or a 1 lbs bag of dried beans or something of that nature. It might not seem like much but over time it really adds up. Right now I have one of those big 45 gallon Tupperware containers completely full and another one like it thats half full.
I also make sure that I always drive a van. When I was younger I had to live out of my car a few times and it sucked horribly. If I lose my house, living out of my van will be doable until I can get back in a new home. Better than living out of a sedan at least.
Right now I am trying to save up enough cash to by an acre or two of land somewhere far enough away from a city that nobody will bother me but close enough that in an emergency I can live out there and drive into town for work, at least until I get back on my feet. Maybe something an hour outside city limits. When I lived in my car I found that finding someplace to park where you won't be hassled is one of the worst parts. If I had some cheap land of my own that I could park on it would be a nice backup place to live if I need it. It would also be a good place to hang out on the weekends, have bonfires, maybe plant some apple trees out there, etc.