This might be a bit tricky because you did not design the original experiment in JMP. I assume, though, that you have the data in a JMP data table already. I think that best way to get the right result with a minimum of effort is to use two steps: first create a DOE with the table and then, second, replace the rows with the existing data table.
I suggest using Custom Design. Define the responses, factors and the terms for the model. Specify the same number of runs as the number of rows in your original data table. Click Make Design and then Make Table. You have the right data table. You have the wrong rows. Go to the original data table and copy one column at a time, paste into the corresponding design table. You can close the original data table when you finish. You can use the design table from now on.
You can analyze this data. You can also augment the design to add more runs that will compliment the existing data for various reasons: increase power of tests of parameter estimates, reduce correlation of parameter estimates, estimate new parameters (terms), and so on.