"A. A lot of what is called AIDS in Africa is actually other diseases since they often go by symptoms rather than testing."
In some places, this has been correct in the past. It does not come close to explaining the current HIV crisis in Swaziland.
"B. If people in Africa (or elsewhere) abstained from anal sex, dry sex, and stayed monogamous, the AIDS problem would resolve itself soon."
Actually, monogamy itself would probably help a great deal, along with abstinence of those who are HIV+. Aside from some miscellaneous cases of rape, physical assault, tattooing, and other blood/tissue related infections, the transmission issue would be resolved. Then it would speed the resolution of the whole problem if you'd just stop treating anyone who's HIV+. You'd probably need to provide a lot of hospice care, but that's relatively cheap compared to HIV meds for life. HIV would cease to be an issue in 15-20 years under those circumstances. When you find a place where those circumstances exist, let me know.
"It's not possible nor advisable to try to bail everyone out who chooses to break natural law. Sometimes getting burned is a good way to learn not to stick one's hand into the fire. Sure taught me."
Did you received a death sentence for sticking your hand into the fire? Trying to use HIV as a learning experience isn't all that productive. It may remove elements of society that you consider undesireable, but as a direct behavioral contingency, it is not that helpful.
I don't want anyone to die prematurely, or even worse, to cause others to die prematurely.
AIDS can be stopped in its tracks with honesty. People are not animals; they can control their genitals if they want to.