1995 W124 E320 Window Regulator

[stscdave]

On my right rear window regulator (See pics) the white square part that lifts the window rotated on the rivet 180 degrees so that it is closest to the blue wheel in the picture. (The pictures included show everything in the correct position, I didn't get any before we "fixed" it.) With it rotated the window would not fully close (about 3 inches short) and it eventually fell off the track down into the door frame. We got it all put back together and it looks like it will work for now. I'm sure it will happen again. So the question is; is this the right part to fix it: attached picture: "Sliding Jaw window regulator.jpg"

Thanks!
Dave