Thank you for your reply.
So then it sounds like this is not court ordered mediation, but just something they had proposed, correct?
Here are you options then basically at this point:
1) Move forward with the case as is, and go to the hearing on the motion to compel. The judge will determine what they have to answer and when they must provide those answers to you. Since failing to answer you at that point will only result in further sanctions, hopefully that will get things moving.
2) Keep the hearing on the motion to compel on the calendar, but, assuming they are still looking to negotiate, enter into discussions regarding settlement. You don't necessarily need to go to a formal mediation to reach a settlement. If you think mediation would be helpful, then reach out to them with a series of dates and times when you are available to mediate (I would give them about 3 dates and times) and if you can agree to one, you can contact a private mediation service to set it up. I would discuss with the other party how the fee would be paid - the easiest would be to split the cost of the mediator, and each party to bear the costs of their lawyers, if any.
If you do reach a settlement prior to the hearing on the motion to compel, you can always enter into a stipulated settlement agreement
and agree to dismiss the case (thus canceling the hearing).
If you need additional follow up, let me know. Happy to help.