Among the problems you can have with human feces is clostridium difficile (c. diff.) a very nasty bug that many of us carry in our colons without any problem. But when the balance of bugs in the colon gets disturbed (i.e. by anitibiotics in the hospital) this bug can become a killer, and in fact there's a drug-resistant form that has hospitals quite scared. C.diff. can form spores that survive outside the body and spread infection very nicely from casual contact, and no, even conventional bleach or alcohol won't kill them.
I hope if you don't mind me chiming in with the "Med" part of "Medsailor, with a few corrections.
Yes, C-diff is bad and it's on my short list of things that you don't want to get. However you are HIGHLY UNLIKELY to get c-diff by being exposed to the spores unless you are CURRENTLY ON ANTIBIOTICS.
It's gross to contemplate but many, many, of the sicknesses out there are only contracted from the "oral fecal route". (Yes, it is what it sounds like). Lets face it, people aren't clean, and when you wipe yourself, or change a diaper, there might be poo on your hand, then if you don't wash adequately and you make a sandwich for your friend, voila! oral fecal transmission of whatever it is that you have. Most of the time, you don't have anything to transmit, so no harm done.
So easy to transmit and yet there isn't an epidemic of C-diff EXCEPT in the hospitals. The reason for that is that everyone in the hospital is on antibiotics, so they are more open to the infection. Bottom line, feel free to jump into the pail of poo and roll around with the reckless abandon of a dog without fear of C-diff unless you are currently taking antibiotics. If you are currently taking antibiotics, just to be on the safe side, don't roll in the poo.
Your original premise, that it isn't just dirt, I totally agree with. Unless it's been composed at a high temperature, (which it won't in these units) it should be treated as poo, not dirt, no more or less dangerous. Gloves, and lots of washing afterwards.
Also chlorine DOES kill C-diff and C-diff spores even down to 1:10 concentration of household bleach. You were right about the alcohol hand sanitizer though, it doesn't kill the spores, though I have a personal theory about alcohol killing it in your gut if the moonshine is strong enough. ;-)
P.S. Still love the Nature's Head composting toilet on my boat. Not perfect, but WAY better than marine heads. 2 of us lived aboard with it as our only toilet for 4 years or so. We found that the coconut coir works better for us and is much easier to carry a supply of than peat moss.