And like I said, the fact that *you* doesn't mean that "you" don't keep on living. You're focused too much on individual instances of 'you'.
Of course you'd be stupid to be okay with dying just because a perfect copy of will be reinstated after your death. But that doesn't mean the new you isn't exactly the same as the old you, and therefore *you*.
Forgive me for saying so, but I find this repeated objection incredibly naive. Obviously, the gradual replacement of cells over time (not brain cells, I might add) is not destructive to the continuity of my conscious self. But why is this so? It could be that the gradual nature of this replacement process is what enables my first-person perspective to persist over time. In other words, at any given time, the vast majority of my cells are identical to what they were--for instance--last year. If you go back a year, the vast majority of my cells are identical to what they were the previous year, and so on. There is no reason to assume that the relevant fact about cell regeneration is that in 50 years, few of my cells will be the same as they are today, as that may only be the case under the non-trivial condition that the cells are replaced very slowly.
Then compare it to sleep, if you must. There is no continuity of the conscious self; there is only the illusion thereof. The continuity is broken every-time you go to sleep or pass out. Yet when you wake up, you feel like *you* again. That is the point of the comparison; the you that wakes up after you die, is identical to you in every way. It is you. Just a different instance of you; much the instance of you that woke up today is not the instance of you that went to sleep yesterday.
I do not come to this conclusion, because I don't believe we know enough about the internal, first-person perspective and its requirements for continuity over time.
Then, as others have pointed out, you *are* taking a dualistic position. You are inserting a requirement to "me"-ness that is separate from simple physical mechanics. You're inserting an abstract, a non-entity that somehow can not be replicated. This is no different from inserting a soul to the equation.
I don't exactly understand what "first-person perspective" even means in this sense... the copy would have the exact same kind of first-person perspective. As for continuity over time; in a non-dualistic universe, such a requirement to consciousness should result in a particular imprint on the organization of the conscious-granting system; and as such it should theoretically be possible to artificially create that same imprint. In other words, it isn't relevant because if you can copy the brain right down to the sub-atomic level, you will also be able to copy whatever imprint is generated by this continuity over time process.