I finally had a chance to watch this last night. It's pretty good. You managed to cut out most of the things I had a problem with in the original (talk to the hand, stupid sunglasses, etc). I think the only thing left that still bugs me is the whole "skynet didn't have a core". Didn't they say in T1 that they had breached the core and were about to win when they sent a Terminator back? Doesn't Skynet becoming an Internet wide "botnet" essentially change/violate that? If it's possible, that's the only thing left that I would cut. I think the whole part about Skynet not having a core and just being all the computers connected to the Internet could be cut without effecting anything else.

Other than that, this is a great edit. Keep up the good work.