I get where you're coming from, Scheavo, but that's not what I would call fearing death - it's simply self-preservation. What I call fear of death is that death looms over what you do in life, and you think of death every day, hoping that you can avoid it in some way. If we go by your definition, then yes, I agree, but that's not what I define fear as, to simply strive to avoid something. If everything you did was done with the simple purpose of avoiding any possible situation, then yes, that's fear, but if you simply try to avoid such a situation when it presents itself, then that's, as I said, self-preservation in my book.
For the record, since I'm new to this discussion: I try to not worry about death that much, but when I do, I think that my thoughts are somewhat along the lines of what Blob has said: I don't exactly fear the moment of dying, but of not being, because that's something that is - and will always stay - a complete unknown, more than the concept of dying, and that's what I'm afraid of.