Trusts, religious paraphenalia, and freedom of the church

I am a week late to this decision from Judge McConnell of the District of Connecticut, resolving a dispute between two congregations over ownership of a pair of historic rimonim (the deocorative bells that adorn a dressed Torah). The opinion spends 40+ pages lovingly tracing the long story of Touro Synagogue and the Jews of Newport, R.I., including the 1790 letter exchange with George Washington and with several divergences into the Iberian Inquisition and differences between Sephardic and Ashkenazi practices. The opinion is a wonderful read as a judicial summary of a piece of American-Jewish history. The central legal issue was the relationship between the current Newport congregation and a congregation in New York that formed in the early 1800s, when most of the Newport Jewish community left for New York.

My question, for those who know such things (looking at you, Rick and Chris Lund) is whether the court successfully avoided any freedom-of-the-church problems. Because the structure of Jewish congregations is not religiously compelled, the questions (what corporations were formed, trust relationships, trustee conduct, existence of a bailment) could be resolved on purely secular grounds. I caught one point in which the court drew an inference (that the rimonim were received at the same time as some torahs, because the items travel together) that is based on some religious idea. But mostly the court seemed able to focus on general legal principles, without touching on any point of obvious Jewish law.

Are there First Amendment problems in this decision? Is this case so different from deciding which of two competing groups is the "real church" arguing over property, the type of cases courts are not permitted to hear?