Again, in the hypothetical situation we are discussing your "neighbor" will be a rival or a source.
I wouldn't even take issue with anything your saying if you hadn't brought the Bible and rapture into this. I know this is how some people think and I'm fine with that. However, I don't think you will find support for this line of thought in the scriptures. In this hypothetical situation we are discussing people will fall into far more catagories than rival and source. There has been famine, war, and all sorts of tragedy and struggle on the planet before today. The Bible was not written to apply in civilized and prosperous America only.