The feature of Fit Model to specify more than one response is convenient but I recommend fitting each response separately and saving the selected model. Stepwise is a great way to accomplish this task. After using Stepwise for each response, click Run Model in the control panel for a given response. Now you are back in Fit Least Squares. Click the red triangle at the top and select Save Columns > Prediction Formula. Repeat this process for each of the processes. When all of them have been been fit and saved, select Graph > Profiler. Select all the Pred Formula columns for this platform. Now you can work with them together.
You don't need to use a fitting platform (and fit the model over and over again) in order to use the Prediction Profiler.