What you are describing is living above "red". It doesn't matter where you are, what you are doing or who you are with you are constantly looking at peoples hands, faces, posture, and constantly assessing threats. Many people in law enforcement and military have the same experience as you.
The way I have heard it explained is as such:
green = this is where you feel most safe, this would be when you are home in bed, or when you are back in your old childhood room at your parents house.
orange = You are slightly alert, this can be your condition while driving, or walking on the street. You are aware of your surroundings, but you feel comfortable and at ease.
red = You are highly alert, you are scanning every single person, you are scanning all situations, you are watching for unexpected movement, you are watching facial expressions and body language, you are looking for exits, you know what locations would be safe and what locations wouldn't be safe. Some people have said they experienced a sort of tunnel vision in that you don't nothing anything but potential threats.
People that spend a long time in the red zone can have significant issues with PTSD, it can put you on edge, make it difficult to function in society. The reason why law enforcement feels like such an outsider compared to the general citizen is partly due to constantly being in the red. When they are around other police officers they can let their guard drop a little and feel less stressed.
I hope you soon start feeling like you don't have to do what you are doing. I've heard from friends that were in the military that for them it went away after a year or two of being out, but it has been difficult for them, you forever see all situations and people in a completely different light. Best of luck to you.
Note: I personally spend a lot of time in orange and red modes, part of this may be my life long martial arts training as well as having had attempted muggings. Even while at home I never leave orange, I have a hard time finding a place where I feel completely at ease/in the green.
I feel for the soldier you're replying to because he is at odds with society in this regard. However, he's not at odds with reality because bad shit really does happen and I admire his not being so quick to label it some kind of illness.
With hypervigilance you are identifying threats that do not likely exist given the current context of the situation. Classic post-war examples are where someone needs to check their corners before exiting an aisle of a grocery store or fears slowing down at an intersection because it leaves them vulnerable, even though they are in their hometown. It can interfere greatly with someone's quality of life.
[0] http://www.ncbi.nlm.nih.gov/pubmedhealth/PMH0001923/ [1] http://www.ptsd.va.gov/public/pages/ptsd-suicide.asp
There are a couple of other things that need to go wrong until the diagnosis of PTSD is applicable. Sadly, this is not exactly made easier by the fact that people tend to have vastly different reactions and symptoms.
I think for me personally it is a highly anticipatory, self-protective mode. I am constantly assessing and "war gaming" where scenarios/situations might veer. This includes my daily commute, shopping trips and unfortunately romantic relationships.