I don't think clubhouse chemistry/culture Is all about "getting along" or "liking each other." There are all sorts of different factors involved. You cite those A's teams from 45 years ago that won without necessarily getting along, although the off the field stuff was a hell of a lot different back then. You didn't have 20 guys on every team who were pretty much set for life financially. They were playing for their next contract.
That 2012 team didn't respect the manager, there were big name players that didn't want to be there, Beckett was "supposedly" setting a bad example for young pitchers, among other things. They were a dysfunctional mess.
When Ben said that he needed to change the culture of the clubhouse and "One name that kept coming up in different conversations over and over again was Ryan Dempster" probably had little to do with Dempster's pitching ability.
Do you think they take a shot on Justin Masterson at 10 million if he was an *******? Nope, he was one of the most respected, well-liked players in the game. The 2013 Sox rallied around a tragedy. Jonny Gomes & "Boston Strong" became their "identity." In '04 it was "the Idiots" and Kevin Millar. Getting rid of a sulking Nomar definitely seemed to help that team as well.
I'm not saying that every team needs something like that, but there's a reason why people always say that "all-star teams don't win Championships." I had friends who dismissed the 2012 off-season as acquiring a bunch of mediocre players. I remember thinking that they already had a solid nucleus and these are the types of guys that they need. It's all certainly debatable and I can definitely see both sides of the argument.