Follow your attorney's suggestions. This isn't the time for you to go off thinking cheap or start trying to imagine what's going to happen in court without experience and second guess your attorney. You need to be the one who is compliant. with the judge's suggestion. Cleanse from your mind that your attorney is just trying to make more money off you.
Your case has been and will continue to be a nasty one, and what you want to happen is that when all is said and done, SHE is the one who was completely uncompliant, you were the one who has bent over backward to make all this happen on the timeline the judge said they wanted it to go on. As to whether or not it can be mediated and settled without her having provided the requesting information, if that happens, who do you think is going to come out to the better, the one who is cooperating and tells them what they believe to be the facts, or the one who refuses to produce any evidence and says they're something else?
From the sounds of what you are telling us, the judge intends for this to be settled, with or without your ex's feedback. After giving her enough chances, yes, they can reach a judgment without her compliance. What they don't want to do is let someone who is refusing to cooperate dictate both the court's and your schedule. And they'll eventually break bad on her.
Meantime, remember, your ex knows you, and expects that you're impatient with all this expense and all this time elapsed. She may be counting on your behaving a certain way, as in finally reaching the point of giving up because of her pepetual delays. No matter what, don't have a conversation with her in which she offers to go on and get this all settled up with a "gentleman's agreement" and both of you dump your money hungry attorneys, yada yada. This may be her game plan, but if you continue to cooperate with the courts, be available to do everything they want you to and go through all the steps, it may backfire on her.