There was never a synagogue on the Tabgha site. There was a Byzantine church there in the 4th century common era. It has been considered a Christian site since then.
The synagogue is/was at Capernaum, which is also in the Galilee but at a different location.
Clearly your fellow Jews already showed up...they were there a few nights ago and burnt down the church.
N.B. this is an indictment against the Price Tag perpetuating Israeli-Jews who are a small but dangerous part of Israeli society. I have no quarrel with other Israeli-Jews as I have found them to be excellent fellow citizens.