No offense intended here, but this isn't a new idea. I used to follow forum discussion about this and many of the ideas they had for editing it were quite compelling. I checked the link since reading about your proposal and it seems that link no longer works. I am going to see if I can track it down and though and perhaps it will help you with your edit.

T3 badly needs improvement. Going into the movie they ask to forget everythng we've learned in the first two films, mainly being "No fate but what we make." The other thing that doesn't make any sense and this is a fault with all of the Terminator movies, why keep going a little less far into the past? The first time they try to kill Sarah Conner. Next they go back an dtry to kill John Conner. Next they try to go back and kill John Conner's lieutenants and John Conner. Why not just kill Sarah as a baby, or her parents, or John as a baby...no excuses the movies may have given made sense to me. And the thing is, if Judgment day is inevitable, them why are the Terminators bothering to go at all. Apparently they kill John Conner in the end. They must be very concerned about what the future holds....anyway, sorry about ranting there, the concept behind T3 really upset me.

If you could even make Nick Stahl seem less like whiny SW Ep. II Anakin/Hayden Christensen, that would be fantastic.

Hope all goes well with your edit.