I think it is a great idea too and I'm very glad to be able to get some credit for what will end up being 8 years as an Instructor Pilot in the military - not including the instructor duty that one does inside their own squadron.
On the matter of teaching a civilian student? I wouldn't GO NEAR trying to teach a Private/Inst/Comm/ME student without A LOT of additional training under my belt for all the reasons that you mention (and those that ATLCFI list). This will give me something to include on the resume but I would make it very clear to an interview panel that this is a military competency equivalent and I in no manner believe myself to be a true CFI. I have way to much respect for true CFI/II/MEIs.