Gewd gawd. RJ already clarified that there is not time-travel in this thread.
Additionally, "Time-travel" paradoxes are also theorized NOT to exist: the multiverse takes care of that. Meaning, you could go back in time, kill your grandfather, and nothing happens to yourself even a little bit. In fact, the "multiverse" solution is more accepted than the single universe theory (meaning, no time paradoxes could exist.)
The TX and 1000 go back in time and end up in a different universe that is extremely similar to their original. The events that occur in that universe do not affect the original universe that they were from meaning the Skynet of the TX and 1000's universe does not recieve any information or indication of the events in the other: preserving any paradoxes that could be created and allowing a versus thread to take place between the Salvation Skynet and the TX and 1000 Terminators.
Debate the thread based on an understanding of no time-traveling interference from either side and pretend that the future becomes nebulous until this fight is cleared up.
And before it's mentioned, it's not a single universe. We are led to believe that but it's not the case. Even if that was the case, it doesn't matter because the thread starter clarified in the first couple of posts.