....(I have time to research and write my rejoinder to those dimwits on the other site b/c I have article-posting privileges there and they don't.)
I understand the hazards of trying to prove cause-and-effect but also recognize that in the heat of debate (or even in the less-heated room of forming opinions) no one takes the time to parse out where the gaps might be. And I know how to construct a pretty solid case even when there are gaps.
I also appreciate that reasonable minds can differ....
You might consider just asking them if they'll be open to reading your research, before you take the time to do it. It may not be practical to blame them if they decline to appreciate your efforts.