Having a woman as Rabbi or Pastor is a dead giveaway.
Nope, it's a Conservative synagogue. Like some of the Protestants and the Francis Catholics, it's having mission creep.
What are LCMs? Are you referring to the LCMS, the Lutheran Church–Missouri Synod, which is orthodox Lutheranism, Bible-believing (sola scriptura) and does not allow women pastors? You may be thinking of the radical leftist ELCA (Evangelical Lutheran Church in America).