I like this idea. Watching the clips with the new music made it have that 80s feel that the first movie had. In the second clip, I felt there could have been a break from the music after a while, as it went on and on. The ears need a break from the music, otherwise it seems to take away the effectiveness of it.
In the 3rd clip, I liked how you ended it with them just not stopping at all, which seems entirely logical. Logic is what the Terminator should be thinking with, as he is just a machine. It always bothered me that he stopped to look back at the explosion and waited with his shotgun to see if the T-1000 was coming out. He already knows how powerful and dangerous the T-1000 is, and shouldn't expect the explosion to do any damage to it. That shotgun isn't going to do anything to it and the T-800 knows it. Just driving without looking back as the explosion happens? Yeah, that is definitely safer for John Connor than stopping and waiting to see what happens next.