It'd be great if you didn't have to go back (from say Graph Builder) to the data table to find and change the Value Ordering properties, by instead simply double clicking on the X-Axis settings and editing the Vlaue Ordering from there..
In JMP 16, when a categorical axis has a non-default order, (e.g., you've chosen another column to order the axis by), you'll have an option to save the order as a Value Order property.
Categorical axes in JMP 16 will have an option to edit the Value Ordering property.
With the release of JMP 16 categorical axes now have a right click option to edit the Value Order.
Categorical axes in Graph Builder can be edited directly by clicking and holding on the axis to enter a drag-to-rearrange and click to re-label mode.