It is just a quicker, more standardized way to enter the VFR pattern for mil aircraft. For us, you basically break at 350 kts or so at the approach end numbers, should be lowering the gear and flaps just prior to being abeam/180 out, and then we just fly a standard carrier approach turn to final. Much more efficient than a straight in, or a downwind/base entry where you need to slow well before entering the pattern, and might have trouble visually picking out your interval.....ie we can keep our normal cruise speed up until we are directly over the field, thus saving gas and time. I'm just as comfortable doing any other approach/pattern entry, so it's not like it is vital to our safety, just that it is quicker by a good bit. Yes, civilian aircraft can break, though I'd argue that it is pretty pointless and only for show if you normally cruise around within 50 knots of your approach speed.......that and most "breaks" at civilian airports are really high, compared to a real break at 800' AGL.
FWIW it is 360 degrees of turn in total, as you break basically pointing down runway heading slightly offset from the runway at break altitude. There are some bastardized overheads out there (like NAS North Island RWY 29) due to noise abatement, but generally you start on runway heading over the runway.