Why are my quill pedal cages "wobbling"? The plates and connectors on my old quill pedals "move around" in relation to the pedal axle itself: In the photo below, I'm pushing the pedals to opposite sides to show how the pedal cage "distorts". The fact that the plates and these connectors are loose in this way causes them to "wobble" while riding, which means not only that the pedals move around a little bit while riding but— more importantly— they make horribly annoying metallic rattling/squeaking sounds when riding.
it looks to me like the cage part of the pedal is pressed together you may be able to remove the pedal and pound the end of the cage part back into the frame of the pedal thee type of connections are held together by distortion of the metal ie widening of the end of the piece to be held by widening by pressure like a rivet so possibly u could re hammer them together