GhstbstrLMLIII
In regards to T3. I thought the show was supposed to be set between T2 and T3 - so they're not really ignoring T3 - they are simply leading up to it, without changing the timeline too much.
No, they're ignoring it completely. Nothing leads up to T3. It's in it's own timeline, that only follows Terminator and T2. So theres two terminator timelines. The movie which is The Terminator, T2 and T3.
Then the TV series, which is The Terminator, T2, Sarah Connor Chronicles.