Having done both civvy and Military flying in my Yoof, then taking a long break before starting Civvy again, the 3 aspects of military flying that all GA pilots should adopt is:
1. Discipline, do it right every time, all the drills, all the manoeuvres, all the numbers, aim to get them perfect, if you can't, go practice.
2. Lookout, treat all other traffic as the enemy, maintain your spacial awareness
3. Practice a Major emergency on every flight, that way when the real thing happens, the immediate actions happen automatically giving you the capacity to think clearly about your flying and your next course of action.
In my view those are the 3 key things that separate the communities