The problem with composting crap is the possibility of contagion and parasite transfer.
Even if material is covered, it takes a lot of covering to block all the flies. Flies transfer bacteria at minimum, and smaller worm eggs aren't impossible.
However, if you want to do this, I would suggest doing it via a composting toilet. In your climate the Sunny John system should work quite well.
This is a system of solar assisted composting, with the crap screened from flies, and maintained at a high enough temperature that you can actually kill most pathogens.
Despite this, I would not use human compost on a veggie garden, but rather use it on the flowers.
In passing: Much of the nitrogen is in urine. Urine, unless you have a bladder infection is sterile. Sterile enough that if you have an injury in the bush, it's an acceptable substitute for clean water. It has enough stuff in it that it will grow a bacteria culture fairly soon, but you won't transfer pathogens from one person to antoher through pee. Go pee on the compost pile.