From a message board, via Reddit.

No, Moslems don’t believe that Jesus was the Messiah.

Think of it like a movie. The Torah was the first one, the New Testament was the sequel. Then the Qu’ran comes out, and it retcons the last one like it never happened. There’s still Jesus, but he’s not the main character anymore, and the Messiah hasn’t even shown up yet.

Jews liked the first one but ignored the sequels. Christians think you need to watch the first two, but the third one doesn’t count. Moslems think the third one was best. And Mormons liked the second one so much they started writing fanfiction that doesn’t fit with ANY of the cannon.