I doubt that even if you restrict it to combat soldiers that you could show their risk of injury is any greater than a number of civilian jobs, such as commercial fishing and logging.
What are you basing that doubt on though? Even the data in your link is flawed for two reasons:
1. It only factors in deaths and not injuries or disabilities as a result of workplace duties or environment.
2. When calculating the military deaths per 100,000 they only took the deaths from Iraq. They didn't factor in the deaths from Afghanistan or those that resulted from training accidents or suicides. And suicides would be applicable for an occupational death count because most soldiers that commit suicide do it because of work related stress. None of the other occupations on that list can claim that.