This is an 'us and them' situation; to believe it isn't is burying your head in the sand. They attack the position and credibility of CTWD and you can only defend your position by being vociferous or silent, either is a you or them situation - they want a name-change, you don't. I have seen enough comment from CTWD members and its officers that disparage the Allam's and the strategy they wish to implement in their business, so this so-called non-personal angle is a myth - it is simply polite and non-aggressive at face-value.
They do not come across as frustrated or challenged. Like you, they maintain their argument of the numbers game; an argument that, if taken on your membership numbers, favours them. Their strategy, in playing the poll card late in the game, is well judged, but they can withhold it for later if the FA act against them.
The Allam's, as has frequently been said, are less interested in the name change than their spat with HCC, so why ignore that in day-to-day activity, when it is core to your FA submission? Is it not possible that the name-change and their lies surrounding it can be dealt with in equal measure? What do you gain by not highlighting their duplicity; after all, you have no credibility in their eyes.