With regards to bick's comments: no, policing is not the army, nor should it be. In my opinion, being good at either often demands similar character traits but the average policing day is nowhere close to being the same as an average day in the military. Bick, its unfortunate that you did not enjoy your policing experience but I give you credit for not jumping ship right out of the gate and at least giving it a couple years. But I would venture to say that blades/careerists/lazy wastes of skin can be found not only in policing, but in the military as well, or any profession for that matter. I have learned quickly that no two officers have identical careers/experiences. Some become bitter and lazy because of their experiences, others look back fondly on every minute of their career. And again, I think that the same can be said of many soldiers as well. One of the draws for me personally was the fact that if I get tired or bored in my current position in policing, I can always do something different while still carrying a badge.
As for military experience helping on your application, from my own experience it definitely helped me stand out from dozens of other candidates. But as has already been stated, I think it really depends on what your military experience is, how you learned from it, and how well you can explain to the recruiter that your military experience will make you a better officer.