Your description is very similar to where I work. Most of the time I don't acknowledge many of the surgeons. They are mostly primadonnas who brag about their yachts, lake houses, and 2 week vacations to Europe. Many of them are big babies who whine about every little thing. Most of the time I simply scrub the surgical site, do the time out and sit quietly doing my paperwork and then blend into the wall without saying one word during the surgery.
I've stopped running around trying to please them, because you aren't going to get anywhere. I used to say Good morning Dr..so and so only to get the blank stare, so I stopped and only speak when I am spoken to. It seems to be safer that way. Among the nurses and surgical scrubs
life is normal. We all get along, say hello to each other, each lunch together and are civil.
I think my cold shoulder attitude is working because after I stopped speaking and saying hello first, several of the surgeons say hello to me first and I always respond back. However I still don't join the discussions during surgery because I feel safer just to sit back and keep my mouth shut. No matter what, you are going to have nice surgeons who make you feel like part of the team, and jackass surgeons who will always treat you like a second class citizen. Simply ignore those guys and go about your happy little life without letting them get to you. It's always something with these kinds of surgeons.... either the room is too cold, or it's too hot. You don't have the correct tissue pickups with the little right handed doo dad that they want, or the camera is too fuzzy and they want another one when doing a laparoscopic surgery.
Just do your job to the best of your ability and remember that you aren't there to please the surgeon. You are there for your patient.