Poisonshady did such an awesome job answering questions, I only have two I'm going to answer.
And another few questions:
1. Will the messiah come to build the temple or will the jews build the temple to usher in the arrival of the messiah and how will the muslims agree to remove their mosque and I believe from what i hear, a muslim graveyard in the place that the temple should be built.
About that... While Poisonshady answered quite nicely about the Messiah and who will build the Temple, we need to fill you in on the "Muslim Graveyard..."
There IS no graveyard there. Since Muhammad saw these places in his vision and the first of the Rashidun declared them holy places, no body would have been buried there.
There are many things that the Jews and Muslims disagree about, no question. But one of the many things we happen to agree upon is that dead human bodies confer Tum'a upon a person.
The concept of Tum'a and Tahara don't translate at all into English, certainly not into nice, concise words that are instantly meaningful. The word Tahor is often, and badly (although conveniently) translated to mean pure, or clean. The word Tam'ei (the adjective form of the noun Tum'a) is often, and badly (but just as conveniently) translated to mean impure, unclean, defiled.
In order to give a more accurate depiction, the best you're going to get for Tahor is "state of being whereby things are permitted." What are those things? It depends on what you want to do. Most often, things that are Tahor are permitted to enter the Temple, or are permitted to be eaten by a Cohen who is also Tahor. And the reverse is that Tam'ei is actually translated best into "state of being whereby things are forbidden." Like entering the Temple, or being forbidden to eat the parts of sacrifices people were permitted to eat, or having sex with one's spouse.
One of those things that impart Tum'a is a dead body. There is no way that Muslims would purposefully make Tum'a a specific piece of land that their own hadiths declare is Tahor and holy.
By the way... Tahor and Tamei are concepts that translate precisely and accurately between Hebrew and Arabic, whereas it is clunky and STILL not quite accurate between Hebrew and English.
Another fun fact... The Dome of the Rock and Masjid al-Aqsa are actually on a fault line. These buildings were destroyed no fewer than four times in history already, and were rebuilt to the glorious buildings you see there today. (I hate the fact that they are there, but there is no getting around the fact that they were built to impress. That was very much Caliph
Abd al-Malik ibn Marwan's idea.) As such, I believe that when it is time for the Temple to be there, God will make use of the natural resources, and an earthquake will happen, and the buildings will go bye-bye.
However, I pray with all of my heart and soul that no human will be in either building when such a thing occurs.
7. Do jews believe in the Holy Spirit
I'm not sure I understand the question. I mean, I think I do, but...
(See? Not a real answer.)
9. Will the jewish messiah restore the earth and save it from global warming?
I think global warming is something that only God Himself can fix. No human being, no matter how cool and miraculous he is, can do that kind of thing.
But I'm not too worried. God will do a good job.