Yes, very much so.
The thought of my consciousness literally ceasing to excist is very frightening to me.
Though aging also sort of scares me - I don't want to become physically and/or mentally less than I am now(though thankfully, we've discovered what causes aging, and by the time aging will actually be an issue for me, age-wise, it's probable that aging itself would be cured), however that shouldn't become a problem before I'm 80-90 in my case(when looking at family history, diseases, average life span, et cetera).
Back to my original point - the thought of literally ceasing to excist. A sleep in the dark would be great if I'd sort of remain in existance, however that's simply not possible.
When one dies, their consciousness, their whole self literally ceases to exist. Just gone.
Now while I do get that when I am dead, I won't care, 'cause I wouldn't be able to, the thought of getting there, feeling my life slipping away(for whatever reason - a painless and relatively quick death or a slow painful death, doesn't matter in this case)... scary.
I don't like thinking about it, but this isn't the first debate over it I've participated in. These subjects just seem to crop up at random.. heh.