From the Catechism of the Catholic Church at vatican.va....
841 The Church's relationship with the Muslims. "The plan of salvation also includes those who acknowledge the Creator, in the first place amongst whom are the Muslims; these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind's judge on the last day."330
You know, it's one thing to accuse some other group of being like islam, but when it's self-admitted, well, that's a different story.
FWIW, I'm invoking Godwin's Law. You compared to islam. You conceded the debate.
Good move...checkmate!