Staff are going on strike from Monday until Wednesday this week, Unite the union says.
The devleoper says there is a "pressing need" for new homes in the area.
The West Yorkshire Combined Authority says a consultation showed residents supported the plan.
Work to replace Airedale Hospital could begin in 2028, Bradford councillors are told.
Scheme will give better pedestrian and cyclist travel options between Steeton and Silsden.
Robert Barker was last seen on 1 November, according to West Yorkshire Police.
The overall plan to link Steeton and Silsden with a bridge over the A629 is expected to cost over £24m.
Katie Bonser said it was another driver behind the wheel when she was speeding, a court hears.
Katie Bonser, 38, admits perverting the course of justice at York Crown Court.
