Irate residents contacted the AJ to highlight their intention to lobby local Respect Party and Liberal Democrat MPs over the development.
The group is angry at the architect's plan to reconfigure the docks to accommodate developer REIT Asset Management's 16-storey, 71-apartment block.
Local resident Patricia Daley said: 'The scheme is going to totally alter the docks. It would be a shame. It would be absolute vandalism.'
Gaunt Francis submitted concept designs for the building to the London Borough of Tower Hamlets earlier last month.
It is part of a wider masterplan to 'rejuvenate' the entire docks area.
According to the architect, it 'sought to balance the modern building design for St Katharine's Point with respect for the historic buildings and surrounding heritage sites'.
Its redevelopment proposals also include two other major buildings - a residential replacement for the existing Devon House office block, and a swathe of new retail space at the docks' quayside.