I had that thought when I saw talk about Galette to the Cowboys; however, when I stopped to think about it, who are the bad characters on the team?
Hardy? He had the 1 incident that I know of and was very well liked by teammates. He is reported to be a hard worker, just a little bit of an unusual personality.
Rolando McClain? He seems like the only possible locker room "turd" that I can recall and he has no clout on the team per se.
Randle? His issues seem fairly minor and he has yet to develop any status to be an influence in the locker room.
In the past the Cowboys had "leaders" with strong influence in the locker room that were "turds". TO and Jay Ratliff quickly come to mind.
The bigger problem with TO and Ratliff was that there were very few players that would/could stand up to them. Romo and Witten stood up to TO, but many others took TO's side like Crayton, etc.. Now the team is overstocked with RKGs and any "Turds" are unlikely to have much influence.
This team's identity has become centered around the OLine and all of those guys are RKGs. That seems obvious with Tyron, Fred, Martin and Free. I recently heard some discussion about how Ron Leary is a very focused professional and was the only player that anybody can remember in a long time that showed up in a suit and tie the first time he came to the Cowboys facility. La'ell Collins and his mother were very impressive at his intro press conference. The list of RKGs is long.
IMO, the "Turd" quota for the Cowboys might be at an time low. During the Wade Phillips years, it was stacked with both Mega-Turds like TO and a huge number of mid level turds with a huge sense of entitlement. Mid level turdism would be guys like Crayton or even Marion Barber (remember his refusal to adhere to Garrett's dress code for traveling?). There were a bunch of other players, but I won't mention names because fans get upset if you call out certain players. I spent a lot of time at training camp back then and it becomes obvious which guys have attitude/entitlement issues. I had also spent a lot of time at training camp back in the early nineties and the guys in the Wade years had a bigger sense of entitlement and were way less fan friendly than back when they had mega-stars that had won Super Bowls. If you observed the teams, especially around the hotel and their interactions with fans, you would swear that the Wade teams were the ones that had won multiple Super Bowls based on their attitudes.