I thought only Moshiach could rebuild Beis HaMikdash.
The Temple WILL be rebuilt. I don’t know if it will be at the hands of this self-proclaimed “Sanhedrin”, but the Bible is pretty clear on the subject.
You're right (though of course, he will be recognized after he builds the Temple, so someone has to do it).
This "Sanhedrion" has lost whatever little credibility it ever had. Why would any group that advocates the restoration of animal sacrifices be into this modern liberal ecumenicism and pacifism?