Yes, I would and I have.
When I lived in Colorado, I was a medic and worked with Mountain Search and Rescue. I specialized in high angle rescue (dangling off cliffs). I have helped rescue climbers, parachuters, skiers, and Kayakers.
In crested Butte, our bank blew up with 14 people in it. I was one of the first medics/people on the scene. We all went in with no thoughts of anything but trying to get survivors out. Three were killed (one, a good riding friend) and the rest were badly injured but survived. ATF came to investigate it as a possible bombing....turned out it was a natural gas leak. Explosion Kills 3 and Injures 14 at Colorado Bank - NYTimes.com
My experiences, and others, allowed me to realize that I could handle stress. So, I eventually, later than most, started a career in law enforcement. At least I have the experiences to KNOW that I can handle it when the feces hit the fan.
You will be surprised how many of you would be the same. Just look at the everyday people who proved to be heroes on 9-11.