Whoa. I mean it's certainly not right if you were put on the medication and didn't have to be, but when you start adding other compounds to the mix, things can get pretty hairy.
I don't think any relatively professional doctor would prescribe l-dopa just because you're recovering from being on invega. Doing so is also playing right into the hands of the doctoral-pharmaceutical complex that a lot of us fear, if you will, in that symptoms are vigorously deadened by drugs, no matter if they have the potential to resolve through time/therapy.
Also, I've learned to never go to a psychiatry appointment set on what I want. What is then the point? It's a waste of time for both parties. You need to go to your appointment with an open mind, clearly explain how you are feeling, and yes, what your opinion on your medication is, but do what they suggest. They went to school for a long time to learn this stuff. To think that ten minutes of searching on wikipedia is better than that is, well, you know...
When you say "all the symptoms", can you be a bit more specific?
L-dopa has lots of potential negative side effects too.