The problem of getting the husband to give a get has been going on for centuries. While in Israel, the court can imprison the husband and deny him benefits and even them many times it doesn’t work. In America, they can only penalize him financially, which they are already doing.
As far as having the Jewish courts putting the husband in contempt, most courts will not issue a contempt citation unless the other party guarantees to pay the Jewish court’s secular court’s legal expenses when they are sued by the husband.
In most of these cases the wife went to civil court first got alimony/child support and other financial benefits and then wants the get. There is no incentive to give the get unless the husband is compensated in some way. The only thing that can be done is peer pressure in not giving them certain honors in shul. In this day and age when there is a large amount of divorced husband and there are small shuls on every block in many Jewish neighborhoods, there is bound to be one that will accept him for what he is.