The Military is slimmer, and lighter. The SERE is thicker and heavier. For EDC, this is an advantage for the Military unless you like thicker handles and knives with some heft.
The SERE has a low-ride pocket clip. The Military sticks out of the pocket quite a bit. This is generally an advantage for the SERE, especially if you want to carry the knife without people knowing. However, if you don't care about that, then the Military would be easier to access in the pocket since it sticks out more. It also looks great in-pocket.
The SERE opens much smoother. The detent isn't as hard to overcome, and the action is like butter. The Military really wants to stay closed, and the action is a little rough. Advantage for the SERE, especially if you like to flick. But if you want a knife that will be VERY secure in your pocket and never open by accident (not that the SERE has problems with that), then the Military would be better.
I like big folders and don't mind them being heavy and thick. However, since the Military gives me big folder performance *AND* is light and slim, I prefer it to the SERE. I also don't care about flicking knives open or low-ride clips.
However, if you don't mind, or actually prefer, extra weight, do want to flick the knife open, and do want to be able to wear it clipped without it being easy to see (in an office or such), you might prefer the SERE.