Thanks DD. 

I am no authoritative expert on Islam, but just probing some interesting issues. But in answer your question: 

"As far as Islam expecting Jesus Christ to return the second time, I doubt this. I think many are waiting for the appearing of a Messiah, but unfortunately it's not Jesus."

My understanding is that Muslims believe in the day of judgment, even an investigative judgment. But more interesting, they generally believe it will be Jesus, not Muhammed, who will return at the Second Coming. The Qu'ran says:

"And (Jesus) shall be a Sign (for the coming of) the Hour (of Judgment): therefore have no doubt about the (Hour), but follow ye Me: this is a Straight Way." (43:61)

Just check out the Wikipedia entry on that point:

https://en.wikipedia.org/wiki/Second_Coming#Islam