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TorahWeb (from YU Roshei Yeshiva) advises us regarding the Pope's funeral. For those who don't want to read at their site:

Regarding the upcoming papal funeral TorahWeb would like to inform the public of the following

In 1963 Rav Soloveitchik zt"l reacted to reports of Jews watching television coverage of President John F. Kennedy's funeral service. At that time the Rov was distressed and stated that, according to Halachah, it is forbidden for a Jew to watch such a religious funeral service.

Although I can't say I'm in full agreement with R' Carmy on many issues, he has some interesting points on the Rav and Christianity here.