I would imagine some of the veteran FAs are still trying to fit in. The young core may like hanging out and eating/breathing football, but the vets coming on-board are probably focusing on finding their niche. I would also imagine the younger players are trying to fit in as well (give homage to the 12th man, speak of competition making them better, etc). But they don't want to be sheep either, so some individualism will seep through.
The core players have their chemistry, but until the 53 man squad is set, some of the leaders are on the hot seat. The team leaders to me are men who seem sincere and hard working, like most team leaders across the league. I think it is the organization and coaches that can destroy or nurture an environment that allows the team leaders to echo a consistent message. As long as competition is legit and trust for the most part is maintained, your team chemistry will be strong. Monitor the players' reactions as the cuts start to happen. There is some resentment to the business side of the game. The locker room usually has to quickly respond to a key loss to move forward.
You knew there was some hurt when TJack was traded. Or when Leon was cut. Evolving leadership has to keep the players looking forward and over coming temporary setbacks.
The biggest threats to team chemistry is the high-priced newcomers from Free Agency. Harvin could disrupt chemistry if he wanted to. Possibly Avril and Bennett. Possibly Michael as the hot-shot rookie. That is about it.