I believe they could have happened during the O.J. Simpson case.
According to the timeline of the first two Terminator films, the first movie took place in 1984, the second in 1994. It sure looks like summer in L.A. in T2.
O.J. Simpson's slow-speed car chase happened on Friday, June 17th, 1994, after the Sunday, June 12th murders of Nicole Brown Simpson and Ronald Goldman.
T2 takes place over maybe three days, maybe four, and on the last night of the film there's A) Sarah Connor trying to kill Skynet scientist Miles Bennett Dyson, B) her son and future leader John Connor showing up with the "good" Terminator to stop her, C) all four of them raiding the Cyberdyne building to destroy the technology that would lead to the humanity-destroying technology of Skynet, D) all sorts of police showing up at Cyberdyne to start fighting, E) the T-1000 "liquid metal" Terminator catching up with them, F) the T-1000 chasing our heroes through L.A. (the T-1000 in the helicopter, our heroes in the SWAT van and then the pickup), and G) the final fight at the factory where the T-1000 is destroyed and the "good" T-800 sacrifices himself.
Any other night, a series of events like that would've been huge news everywhere. But focused as we were on the true lurid news of those murders, we may have been able to not notice, or to just ignore, all of the action in that previous paragraph.
As for what happened earlier in T2 -- the confrontation in the mall, that chase and explosion in the drainage ditch, the T-1000 killing John's foster parents, the rescue of Sarah Connor from the mental hospital, that trip to Mexico and back -- most of those events could have been kept on the down-low (like maybe the truck explosion got written off as a bizarre accident) in that strange, surreal week in L.A.
These thoughts brought to you by 1) my sick mind and 2) the premiere tonight of Terminator: The Sarah Connor Chronicles, which I'm still debating whether I should watch because, hey, Summer Glau kicking butt.
More Terminator thoughts:
* When I first calculated, soon after seeing it, that T2 took place in 1994, I told myself "Then I want to see a liquid nitrogen tanker truck on the road in 1994, like at the end of the film." And sure enough, I did! More evidence the events could have happened!
* So HOW many humans and Terminators were sent back through time, now? How does the timeline fit, with three Terminator films (and three bad Terminators, one human (Kyle Reese) and two "good" Terminators) and this new series (with however many more machines)? Yes, I'm a geek, I think about this stuff.
* I don't think I'd want to be working with James Cameron during this period where the above show's about to debut...
Edit to explain (maybe) the question in my title! Kyle Reese first said "Come with me if you want to live" when he rescued Sarah Connor at the Tech Noir club in the first film. The "good" terminator of T2 says it when he finally reaches Sarah in the mental institution. As the new program's promos show, Summer Glau also says it. Maybe between the events of the first film and the second, Sarah Connor told John Connor about Kyle, and John remembered that phrase, and then in 2029 (when humanity defeated Skynet and the time-traveling began) he told the other time travelers he was sending back to use that phrase with the Connors in the past. It's code! It's said for a reason!
Yes, I'm even more of a geek than y'all first thought.