Your options are to file for contempt of court.
And of course the court will decide the credibility of the so-called "threat not to obey the orders" based on evidence presented by the plaintiff AND defendant.
How much it will cost will depend on how stubborn/stupid he decides to be.
You really need to have an attorney handling this for you....and the cost will depend on 1) how much time it takes, and 2) whether or not the judge will order him to pay your legal fees (if your attorney property asks the judge to order that)