Safer Restrooms and Locker rooms...

... are coed accessible. Properly designed any public multi-person restroom and locker room has latchable doors on the toilets and changing/shower stalls. Making the partitions full length would be a trivial modification. Even men don't like foot tapping under the usual partial partition. Partitioned urinals generally need no doors although a few would be nice for the drop drawers men and women that choose them for urination. All women know that men pee standing up and leering at mens' hip pockets is a generally unsatisfactory experience for all genders. Cutting a door between the men's side and the women's side would provide equal access to the toilets and showers and equalize the lines at intermissions and breaks. The men's side and the women's side would still be different in the vanity area, reflecting the usually different grooming needs, and the usual sloppiness of men whose mothers don't follow them around to clean up. 

In a mixed facility the good guys could at least in theory protect all from the bad guys however they were dressed. In general a bigger group is safer than a smaller one and a predator alarm could be built in on both sides as in slack times sexes would still normally segregate. Ladies rooms are social, mens rooms are not.