Well, to quote Petrie when asked how he managed to put together a team (Vlade, Webber, Bibby, Peja, Christie etc.) that had such great chemistry? He said that chemistry is one of those things that when you have it, you know it, and you have no idea how you got it, and when you don't have it, you have no idea how to get it. I think there's a lot of truth in that statement. One thing is for sure. You can have all the chemistry in the world, but if that team isn't talented, your still not going to win. Where chemistry helps, is when you have it on a very talented team. The result is that your probably getting the most from that team that you can.
Everyone liking one another? Well thats nice if it happens, but hardly neccessary. The old Oakland A's team that won 3 world championships had some huge fights in the clubhouse between the players. The difference is that when they went out on the field, they put all that aside and won. Shaq and Kobe had many disagreements, but still managed to win. Sometimes just one player can make the difference, and he may not be the most talented player. I watched Funderburke and Jason Williams come close to blows right in front of the Kings bench. My son and I had seats right behind the bench for that game. Williams face was beet red with anger. Vlade came up and put a headlock on both players and talked to them. When he finally released them, they shook hands and sat down. Vlade was the calming influence on that team, and everyone listened. Maybe, just maybe, without Vlade, there would have been no chemistry.
Whatever it is, or however you want to describe it, there is no formula. You can't bottle it. As Petrie said, you either have it, or you don't!