@The Little I Know
I am also licensed in NY and do some work there, generally in Westchester County and upstate, not the city or Long Island,
I know about the Get Law. Any Civil Divorce I handle that involves Jewish clients has as part of the agreement that a Get will be obtained within X amount of time and be paid for by Y party. This agreement removes the impediment to remarriage and has satisfied the judges I have appeared before (I use this in CT also). I had a husband who refused to make the appointment for the Get as agreed in the Civil Divorce (I represented the wife) I hauled him back before the divorce judge on a contempt motion. The judge told him that if the terms of the divorce were not complied with the now ex-husband would be held in contempt, fined and jailed. The judge did not consider this a religious issue which could violate First Amendment rights, but a contract issue. The Get was just one required step for which there had been an offer, acceptance and consideration making the contract biinding on the parties. The appointment for a Get was made within 48 hours and one issued in 10 days.
The Get Beis Din which you refer to is the type I use most often. The sofer is the Dayan, his driver is often on of the three, or they are the aforementioned Rebbis from the local Chabad Day School. Again, because the Civil Divorce has already been granted they don’t have to deal with settlement, custody, counseling to save the marriage. They just make sure there is a kosher divorce and that the parties are free to remarry and that any future offspring will mt be momzerim.
BTW, as I have posted before over the years, I will not handle a divorce for a Jewish client unless they agree in advance to a get. It does not matter whether they are frum or reform, that’s my standard. These are not considered forced gittim (I asked the shailah decades ago) because the person seeking to engage my services is free to hire any other licensed attorney in the jurisdiction.
That said less than 5% of my divorce cases involve Jewish clients and I prefer it that way.