Only in immunity to taxes is Church separated from State. The Churches, and religious leaders and entities have been extremely politically active. It is because of them that the name of Jesus is widely hailed, and all of his teaching about loving one's neighbors, and enemies, rejecting mammon, and being kind to strangers and foreigner have been completely trashed in favor of hatred and violence and greed.

Yes, they should be taxed. And held accountable for everything they do, including their widespread and ongoing child abuse, and promotion of misogyny.