Hi @KurtAnderson ,
Not sure if this is how you want to go about it, but you can do this in a quick way using the Column Switcher. If you generate your graph in Graph Builder and then go to the red hot button > Redo > Column Switcher, you'll want to select the current X column in the top window and then in the bottom window select all the other columns you want to switch it out with, including the current X variable. You'll get something like below (using the Car Physical Data.jmp file). Here, I'm using the column Type in the same way you're using your categorical variable. You can then click through the columns in column switcher and see each graph.
You can use the column switcher option in pretty much any platform within JMP. You might also want to play around with the role that you use your categorical variable, such as color, or overlay, or Group X, or Group Y to see which style best conveys the message you are trying to get across.
Hope this helps,
DS