I could name a few folks I expect to see disagreeing with me shortly, but...
Military vs. 710:
Steel - 440V beats ATS-34 in edge-holding and ability to take a fine edge by a longshot. ATS-34 is the teensiest bit more rust resistant. At the relative hardness of these two blades (440V at ~56RC, ATS-34 at 60RC) I expect the 440V to be tougher.
Blade - I love the 710's recurve but dislike the saber flat-grind in 1/8". The Military has a full flat-grind from 5/32" stock - strong and excellent geometry. Military offers plain or serrated. 710 has only plain or combo. I prefer the Military.
Opening method - Can't beat the hole. period.
Lock - Here's where I'm gonna get fried. The Military's liner-lock is smooth, easy to open and close one-handed, rock-solid, will take more weight than I'd ever put on it, and should it fail it will jam the blade OPEN. I could ask for nothing more. The Axis is even stronger, but who cares? 10x too strong is no better than 5x. If it should fail, it will allow the blade to close. Action is stiffer than the Military, and the locks I've seen occaisionally bind and one even fails to engage. Also I have concerns about crud getting trapped in the enclosed spring area. My vote goes to the Military unreservedly.
Handle - Folks describe the 710 as a very comfortable knife. I disagree entirely. the palm swell is too far back, and the front finger groove far too shallow and gradual. the knife only "fits" my hand when I hold it very far back, with the butt resting against my palm. I like the Military's pronounced forward grip and also appreciate the choil for choking up, an option the 710 doesn't have.
Looks - A subjective area, I admit. But if anyone thinks the Military is prettier than the 710, I'll smack them silly
The 710 is gorgeous. The Military is, well... somewhere between hideous and "beautifully functional." The hole is an acquired taste.
I think the 710 is a fine design, but if I had $100 I'd get the Military (well, I have one...). If I had another $100 I'd get an M-2 AFCK. I'd probably continue doing this until I had all possible variations of both knives. Then maybe a 710
-Drew