Next, with all the due respect to Gedolei Yisroel, our Roshei Yeshiva (with few exceptions) have not dedicated their lives to the experience of paskening the shailos that become the subjects of Kol Korehs, etc. Just recall the heated volley of Kol Korehs about the Boro Park eruv. Without taking a side, the messages bearing signatures of big talmidei chachomim who have great expertise in much but not dinei Torah.
Dayanim can easily take sides, but should not. Partiality has become more of a rule than an exception. I am choosing to ignore the commonly stated accusations that shochad affects most every dayan. Many are also not responsive to the challenges (such as non-compliance with visitation or child support), and often redirect the bickering to family court.
There are certain piskei din that, while having halacha status, deserve to be questioned. This is an entire subject of its own. I have often called dayanim to get explanation for a psak din that was inconsistent with the facts as I could understand them. I will note that there were times that my discussion led them to reconsider their psak. So I realize that the psak din is halacha, but it is needed to question them to be sure that it is either factually correct or otherwise. It is not guaranteed that listening to everything a dayan pronounces is for the ultimate good. But I wish that were the case.
Edited to be safe. You make excellent points but we are not experts in these issues and are concerned about opening certain lines of discussion.