Add your data into single data table, create plot and add two x-axis
Good read regarding plotting in JMP Essential Graphing
Here are 3 ways how you can do it:
How to Overlay scatterplot of data pairs with separate axes
The 3rd option even works if it's "2 data sets" and not one. But it's very "dirty" - the resulting graph cannot be saved.
And it is difficult to edit the graph (e.g. adjust the colors).