Are We Omnipresent?

In his recent article in Times of India, Dr. Deepak Chopra (DC) said that our location in space is a matter of perception, and the truth is that we are everywhere. Here is an excerpt from DC's article that I borrowed from Raama's blog.

An interesting insight that comes from both Vedic Science and Jewish Kabbalah is that the center of our awareness is the center of all space and time. It is at once everywhere and nowhere. But let’s assume for a moment that indeed your awareness is located where you are sitting. If this universe has infinite dimensions — and physicists assure us that it does — then infinity extends in all directions from where you are. You are in the center of the universe, but so am I, because infinity extends in all directions from where I am. Infinity also extends in all directions from a peasant in China, a dog in Siberia, and a tree in Africa. The truth is, I am here, but I am also everywhere else because here is there from every other point in space.

I am not sure if I understood DC's analogy correctly. Let us consider two points (1,1,1) and (2,2,2) in 3-D. Say that they are enclosed in a finite X,Y,Z space where X=Y=Z=5. Now, is DC saying that as X,Y, and Z tend to infinity, 1 tends to be equal to 2? Is he saying that a set of parallel railroad tracks would meet each other, if they both have infinite length? If so, wouldn't it mean that money in the bank is as good as money in our pockets? Is he saying that a cake in any bakery is as good as cake in our stomachs?

I am wondering as to how an awareness that all we see and feel is an illusion helps us in dealing with day-to-day issues of the world we live in? Even if we are able to convince ourselves that our world is nothing but our perception, I imagine that we would still need food to live and air to breathe. If we can't manage these, we might experience decay and death slowly. This would be painful (albeit pain and death are perceptions) and pain is not a desired stimulus, to say the least.

If we fully realize that in the grand scheme of things, we are nothing but a transient blip of energy absorption and radiation from a minuscule portion of the universe, we probably would be detached and happy. I guess this is the essence of DC's message. I would greatly appreciate if readers can share their insights on this matter. I have a feeling that I did not understand DC's message correctly.