There's nothing like teaching to help you learn something!
No acid on lye: it creates an exothermic reaction:
http://en.wikipedia.org/wiki/Exothermic_reaction That's why soap gels: the acid fats meet the alkaline lye, and react, producing heat.
In the beginning, I used vinegar to neutralize things like my lye container or the soap pot, but now I just either wash them, or wait 24 hours and wash. (Oh yeah, talk about washing up afterwards!)
Curing is mostly getting rid of water so that the bar lasts longer. I don't even notice the "harshness" that many do after a few days, and my skin isn't particularly hardy. My week old bar doesn't seem harsher than my 2 month old bar--but the week old bar will certainly melt faster in the shower. Your milage may vary. In any case, best to cure in a dry place for 4 weeks.
Teach people to do a zap test.
And tell them--as any teacher ought to--to doubt everything you say, to check with numerous sources, read lots of books, watch lots of videos, and be experimentalists. The first book I read on soap making was incorrect on a number of topics. Not fatally incorrect, but wrong nonetheless. You don't have to be an expert--whatever that is--to teach. You just have to be realistic with your students about your level of knowledge.
I've taught a lot of things, including university level language and linguistics classes, computer classes, and beekeeping classes. (Obviously, I've had a somewhat odd career trajectory...) If you level with the class about what you know, what you've been told, and what you need to look up, they'll respect it, and everyone has a chance to learn something.