Yup! But as they say, and what might be most apropos here, “The devil is in the details!”
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If ANYONE can deal with that, it's the churches involved. Martin Luther WAS "Father Martin Luther," a very erudite Catholic priest and theologian in his day. He was from the Order of Saint Augustine. That is what the OSA after his name means.
From Google: Martin Luther, OSA, was a German friar, Catholic priest, professor of theology and seminal figure of the 16th-century movement in Christianity.
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I'm all for it. This schism only happened 500 years ago and that, in God's time, is the blink of an eye.