Nathan,
I'd have no problem taking your challenge. I could simply talk about stock in IBM. I guarantee you that they have military contracts and doubt anyone would bat an eye over it.
Nemo,
I would not spend too much time on the Rand Cam deal. I can't imagine many witnesses seeing it much more than a simple oversight and mistake. If I was you I'd focus your energy on the UN deal and even more so on the simple fact that the WT is overly dogmatic. Did you just get that letter read in your hall that pretty much tells the witnesses what kind of food they should be bringing to the assemblies? Talk about ridiculous...
But for your sake, here is my recollection of what happened with the Rand Cam deal....
A JW named James McCann owned a company called Rand Cam Engine Corp with which he developed a simple rotary engine. He donated half the stock to the WT but kept the voting proxy, so the WT was not involved in the company, they would have just received any dividends or profit from the stock sale (which is arguable and unprovable either way.)
Another company that owned the other half or bought the company (this part is fuzzy for me) ran a division that was in charge of marketing and developing this engine. They scored some contracts with the military.
Since the WT was not involved in the company, it is unlikely that they knew what was going on. Once it was pointed out, they seemed to have dumped the stocks. As you can see...not all that big of a deal.
In conclusion, I'd be wary of any report that sensationalizes a situation like this by starting out calling Rand Cam Engine Corp one of the "Watchtower's 'Sister Companies'." That is ridiculous...