I think they are furious with the council, the EFA, and perhaps also Turing House's management (RET, or whoever set the admissions policy knowing this site was under consideration), but not with parents. Whitton residents are going to lose green space and gain traffic and planning nightmares.
It's difficult to make this work just by changing the admissions policy because if they increase the proportion from Whitton, it will undermine Twickenham Academy, but if they don't, it's unfair to locals and will generate more of the traffic problems.
I completely understand why parents have applied to Turing House. But I can't see a way of supporting this, personally. If RET had been announced as a new sponsor for Twickenham Academy, on the other hand, everyone would have been happy. If it later enlarged on two sites, say to 240 pupils, it would make perfect sense - maybe its sixth form would be big enough to offer Classical Civilsation, and it would have a wider catchment area stretching to North Teddington and Fulwell as well as covering West Twickenham (an original base of support) and Whitton, without undermining the new school at RACC.
I just can't see the justification for capital spending on two different small schools on two sites so close to each other (unless TH had been a boys' school) - I can only see one, with a merged admissions policy, under one sponsor.
But please don't think I'm criticising your choices or decisions as a parent, 33george.