While the notion of time uploading itself is crazy, I find the claim that the uploaded copy is not you to be unsupported by science and a vain exercise in self-importance. What we know about our consciousness is that the information stored and processed in our neurons. The matter composing it makes a difference as much as it governs the way the processing happens, but there is no evidence of you being tied to these particular bits of matter, or of there being an independent soul. As far as our knowledge goes, if you replaced all the matter in you with identical but different atoms, you'd still be the same person. And it doesn't have to be completely identical, as you yourself aren't completely identical to what you were some time ago. The problem with uploading your mind to a computer is that there would have to be some unprecedented and presently unthinkable breakthrough that would get you close to having an identical copy, if such a thing is even physically possible or practical. And worse, if you do get close to identical, but not close enough, that would qualify as torture.
Now of course, mind uploading itself is a vain exercise in self-importance. You leave enough parts of yourself behind by making a difference in the world. Teaching your kids, changing the lives of the people close to you, or if you're extremely lucky leaving inventions, written works and art behind or even being personally remembered. That's already more than the world needs. If you are that important, one day someone who thinks similar to you will get born, will get inspired by your work, and will carry it on, and do so better than an ageing disintegrating digital brain will. If you aren't that important, you lived your life, you left your small footprint, why do you want to extend it beyond that – what makes you more special than all the other people who are like you who will always be there?
I personally don't want some very old me who can't deal with the future world and can't contribute to be put in a computer. The years would have changed me to the point that this guy won't even be me any more, and likewise he won't care for the continued existence of this digital brain which will also change quickly from what he is. What will I do in that computer really? Complain that they are ruining the world by polygamous marriage and changing the versioning scheme of the Linux kernel again? I think Cleverbot can do that.