The divide absolutely exists. There is a lot of conditioning for following orders and working as a team. That doesn't erase conflicting ideologies, beliefs, or even personality conflict. At the extreme the military will remove outliers from the military, but at the individual level you learn who you trust and who you can rely on. Then you do what you can to mitigate those who you don't trust.
Militaries all over the world also have a long history of killing their own people for not fitting whatever the group around them wants. Sometimes for justifiable reasons, like incompetent leaders likely to get their subordinates killed. Other times for things like someone being uncomfortable with blatant war crimes.
There is nothing magical or special about the military. They just have more weapons. So the solutions are violent more often than the average office job.