Watching the episode, it's as if they'd all known each other for years. I guess that's ACTinggg!
In TOS with just a few lines of dialogue you got the idea that everyone knew each other pretty well from the get-go.
I wish they'd done that a bit more in STID. After all they were together for at least 6 months before the movie. Sometimes it looked like nuKirk and nuSpock had just met.
That is exactly why that Joe Sargent had a full rehearsal day prior to shooting the first day. Since their were three new regulars, and Doohan and Takei had only been on WNMHGB for a few days - Shatner didn't recognize Takei at all when seeing him again at a shoot in between! - he figured it was essentially a new cast, and needed to get to know one another.