Then there will be cases where a get is mandated by the court.
That’s incorrect. No court in New York (or anywhere in the US) will directly or even indirectly order or otherwise force someone to give or accept a Get. That would be blatantly unconstitutional according to anyone (from a first year law student through a SCOTUS justice.) And neither of New York’s Get Laws, or any other law, purport to directly or indirectly force that. The second Get Law allows the court to award a greater share of marital assets to someone whose spouse refuses to give/accept a Get. But that’s it.
If a court ordered someone to accept a civil divorce, he’s “yotzei” his court ordered duties by indicating he’ll accept it, even while he still declines to give a Get. He wouldn’t be legally obligated to give a Get.
In any event, two years ago New York become the 50th state to change its divorce laws to “No Fault”, which effectively is divorce-on-demand. Prior to two years ago a New York civil court could and did sometimes deny a petition for a civil divorce if the reason the divorce was being sought didn’t meet NY’s laws of why a divorce is justified. Now, under the new law, if one spouse asks for a civil divorce it is effectively automatically granted regardless of what the other spouse wants or not. The other spouse doesn’t have to agree to the divorce; it is automatically issued.