At least at NPPL level, with the CAA's encouragement, we have a single body, the NPPL Policy & Steering Committee, which represents AOPA, BBGA, BGA, BMAA, CAA, GAPAN and PFA interests.
But there seems to be another 'People's Front of Judaea' nonsense building up over the EASA LAPL/LAFI Rating - with various pressure groups determined to push their own private agendas, rather than with a single, combined voice.