If its JJ type Star Trek reboot, where its rebooted in the sense the timeline has changed so T3 and 4 might not happen now, thats fine. But a reboot ignoring Terminators 1 and 2 would be sooo wrong! They can never redo those movies.
Changing the timeline is fine, but fact is T3 and Salvation happened now, and both have Arny, so I would even argue ignoring them at this stage would be confusing too.
I just hope that whatever they decide to release in future, whether that be Terminator 5: A New Beginning or Terminator 10: Hasta La Vista, Baby, I hope and I pray to God that they never do a remake of the first or second Terminator movie. (Remake the others all you want...)
Send a bunch of resistance fighters back to a period of time before any Terminators were sent back and blow up the Cyberdyne buildings. Then keep tabs on up and coming companies who are developing technology similar to Cyberdyne and take them down too!
Bit of an impossible task really. "Judgement Day is inevitable!"