I see now. No, you cannot save that formula. But you might still be able to do what you want. How would you use such a formula (i.e., a column formula)? You can save the model as a column formula and then profile it along with any other functions together by selecting Graph > Profiler.
You want to use the desirability in another software? Remember that desirability is a function of the response, D(Y), and the response is a function of the predictor variables, Y=f(X). You should be able to convolute those two functions to compute the desirability given the X.
I should add that JMP saves the desirability formula for D(Y) using a built-in Desirability() function that you will also have to make for yourself in the other software. It is just a mapping so you can use any function or technique supported in the other software. For example, you could use a linear combination for Maximize or Minimize. You could use a Gaussian function for Match Target. You could also use an exponential function. Anything that supports the mapping you want is OK! The choice is up to you.