Wow, weird......
To update, I tried to hook my flashes up using my friends set of Pocket Wizards, Infact, I hooked it up directly to the Fuji's Hotshoe and guess what.... It worked perfectly! How strange. The flashes sync at every shutter speed and fire only once per shutter release (unlike when I hook my Calumet LiteLinks up to the Hotshoe, they trigger the flash up to 3 times per shutter release, seemingly one flash for every click of the mirror popping, but never during the actual exposure) On all other fronts, I would say I prefer the Litelinks for their lower profile..... But now I have to sell them and switch to Pocket Wizards..... It seems as if the Litelinks are being triggered by every movement of the mirror, while the PWs are being triggered by the actual shutter. Interesting.....