Your question is based on a mistaken premise about the meaning of the messiah and the Jewish conception of the messianic world. You are assuming the messiah will be a Jewish leader who leads the Jews to statehood and forces the non-Jews to comply – similar to Zionism.
However, the true Jewish concept of the messiah is that he will be a spiritual leader who will inspire all Jews to follow the Torah and bring G-d's message to all Mankind. The world will become a spiritual place, and all the nations of the world will worship G-d together with one heart. There will be no wars; no nation will oppress any other. All will form one organization to do the will of G-d wholeheartedly.
“For then I will change the nations to a clear speech, that all of them will call in the name of G-d, to serve Him with one shoulder.” (Zephaniah 3:9) “The earth will be full of the knowledge of G-d as the waters cover the sea.” (Isaiah 11:9)
“And it shall come to pass in the end of days, that the mountain of the House of G-d will be established as the greatest of mountains, higher than all the hills, and all the nations will stream to it. Many nations will come and they will say, ‘Let us ascend to the mountain of G-d, to the house of the G-d of Jacob, and let Him teach us His ways, and let us walk in His paths, for from Zion Torah will emerge, and the word of G-d from Jerusalem. And he will judge between the nations, and give rebuke to many peoples, and they will beat their swords into ploughshares, and their spears into pruning hooks; nation shall not lift up sword against nation, neither shall they learn war anymore.” (Isaiah 2:2-4)
And the prayer Aleinu, recited by Jews three times a day, says as follows:
Therefore we put our hope in You, L-rd our G-d, to soon see the glory of Your strength, to remove all idols from the Earth, and to completely cut off all false gods; to repair the world, Your holy empire, and for all living flesh to call Your name, and for all the wicked of the Earth to turn to You. May all the world's inhabitants recognize and know that to You every knee must bend and every tongue must swear loyalty. Before You, L-rd, our G-d, may all bow down, and give honor to Your precious name, and may all take upon themselves the yoke of Your rule. And may You reign over them soon and forever and always. Because all rule is Yours alone, and You will rule in honor forever and ever, as it is written in Your Torah: "The L-rd will reign forever and ever." And it is said: "The L-rd will be King over the whole Earth; on that day, the L-rd will be One, and His name will be One.”
This is what we are waiting for. We are not permitted to do anything with our own hands to go up from the Exile; everything that will be done will be done by G-d Himself. It will happen with the complete agreement and joy of all nations. It will not be forced upon them, and no land will be stolen from them.
These events will take place at a time that G-d alone will determine. The Talmud teaches that we are not even supposed to try to guess or calculate (based on Biblical verses) when that time will come.
Likewise, our belief about the future of the Temple Mount is based on the verses of the Bible. When the redemption of the world takes place, a pre-built Temple will come down in fire from heaven. “And I will be for it a wall of fire all around, and for honor I will be within it." (Zechariah 2:9) And in the Talmud, Bava Kama 60b we read: "He that lighted the fire shall surely pay. Said the Holy One, blessed is He: I burned a fire in Zion and I will build it in fire. A similar statement appears in the prayerbook: "For You, G-d, lit it on fire, and You will one day build it in fire." All nations will agree to the establishment of this heavenly Temple, and all will come to worship G-d there.
One must always keep in mind that it is not religion and belief that creates conflict; it is the attempt to put belief into practice at the expense of other people. Therefore, for hundreds of years Jews lived peacefully among Muslims. The Muslims knew that the Jews believed that their people would one day return to the Holy Land when G-d made it happen, but that didn't bother them, because they didn't believe it and it didn't affect them. But the minute that Jews stand up and take their own initiative to take over the Holy Land as the Zionists do, it gives rise to hatred. This is what we must avoid. Judaism teaches that the messianic redemption doesn't mean us imposing our will or religion on others; it will be a time when everyone will see the hand of G-d and accept whatever He does.