The original manual has a great picture clearly showing a thick spacer. Below that is a bronze thrust washer between two thin steel washers. The written description also states that shims are used between the top of the axle and the yoke to eliminate excess vertical play.
http://chevy.oldcarmanualproject.com...55ctsm0303.htm
The picture shown with the Speedway kit appears to show (2) thick spacers, (4) bronze washers, (4) steel washers, (2) shims, and various other bits. If your king pin kit parts content matches Speedway's photos, it seems that you could match the original assembly order. Can you measure the thickness of the original parts vs the new parts stacked in the same order?
https://www.speedwaymotors.com/1947-...Set,37029.html