I think if the Airmen at the bottom of the chain COMPLETELY understood the mission and its importance, then all the ranks in between would too. It's a failure of leadership that makes some people think that rule enforcement is their primary reason for being deployed.
You can't say that it is communicated well.... a typical commander's party line is that everyone is important. When Airmen hear that kind of thing it just sounds like straight up rhetoric! That's it. Many commanders come across like a politician covering his/her bases, and are managers... not leaders. Leadership needs to be more involved in letting everyone know EXACTLY why what they do is important to the war.
They also need to realize that while all are important, some may be more important than others --- just a hard truth. For example: while the NCO working the DFAC to superivise TCNs is important to getting troops fed, thus keeping the flight line operating, thus killing bad guys. However, if he or the DFAC went away, lifestyle would only be harder, but the war wouldn't stop. We'd all eat MREs, etc.