Well, the word 'rapture' is not in The Bible it's true, but the Greek word harpazo is, which is translated to "caught up" in the KJV. So you're refusal to believe that event doesn't mean anything, won't affect it either way.
No, it won't be Muhammed. No orthodox Jew is going to worship Muhammed as their Messiah of The Bible. It's silly to even continue discussion of this with you, since you show such Biblical ignorance on these issues.
You obviously do not understand the Scriptures regarding the temple of the Lord. Proverbs 18:2 Fools find no pleasure in understanding but delight in airing their own opinions.