PROBLEMS with orthodox Jew's beliefs today...
Here's a link to the Temple Mount Faithful website.
http://www.templemountfaithful.org/index.htm
Their stated main goal:
"The goal of the Temple Mount and Land of Israel Faithful Movement is the building of the Third Temple on the Temple Mount in Jerusalem in our lifetime in accordance with the Word of G-d and all the Hebrew prophets and the liberation of the Temple Mount from Arab (Islamic) occupation so that it may be consecrated to the Name of G-d." (Main page statement on Temple Mount and Land of Israel Faithful Movement website).
You won't see much said about animal sacrifices associated with the movement, but during the Pesach (Passover) they still have pics of them done upon the Mount of Olives: http://www.templemountfaithful.org/pics-1998.htm
What that movement is about is orthodox Judaism per the Old Covenant. It is NOT about New Covenant worship through Christ Jesus The Messiah. Those folks are STILL WAITING for Messiah to come.
In their "Vision Of Redemption" statement, they say this:
The Temple Mount and Land of Israel Faithful Movement understands the phenomenon of modern Israel as the beginning of the redemption of the world. Two and one-half millennia ago, the Hebrew prophets spoke that in the "last days" G-d would regather His people from all the lands where He had scattered them [Yeshayahu (Isaiah) 43:5-7]. For the last 100 years the Jewish people have been returning to and rebuilding Zion. Today Israel is again the dynamic center of Jewish life across the world. The regathering is not yet complete. Ezekiel prophesied that G-d would "leave none of them there any longer" [Yechezkiel (Ezekiel) 39:28b].
Note just who they claim the gathering and redemption is about -- the world. And then they place the label "Jewish people" on those who return at the "regathering", quoting from Ezekiel 39. So let's look at who God is talking about in Ezekiel 39 in that last section:
Ezek 39:25-29
25 Therefore thus saith the Lord GOD; Now will I bring again the captivity of Jacob, and have mercy upon the whole house of Israel, and will be jealous for My holy name;
26 After that they have borne their shame, and all their trespasses whereby they have trespassed against Me, when they dwelt safely in their land, and none made them afraid.
27 When I have brought them again from the people, and gathered them out of their enemies' lands, and am sanctified in them in the sight of many nations;
28 Then shall they know that I am the LORD their God, which caused them to be led into captivity among the heathen: but I have gathered them unto their own land, and have left none of them any more there.
29 Neither will I hide My face any more from them: for I have poured out My spirit upon the house of Israel, saith the Lord GOD.
(KJV)
Did you know the Book of Ezekiel was written primarily to the ten tribed "house of Israel"? That "captivity of Jacob" in the end of this world is indeed about all Israel, the ten tribed House of Israel included that is still scattered among the Gentiles ("heathen" put for Gentiles in that time). There are many Scriptures in the prophets that declare Judah (Jews) and Israel as separate groups in that final gathering. Here's one of them...
Jer 33:7-8
7 And I will cause the captivity of Judah and the captivity of Israel to return, and will build them, as at the first.
8 And I will cleanse them from all their iniquity, whereby they have sinned against Me; and I will pardon all their iniquities, whereby they have sinned, and whereby they have transgressed against Me.
(KJV)
Did you know that the house of Israel went captive to Assyria and the lands of the Medes first, and then 120 years later Judah went into a different captivity to Babylon? As written in the Book of Ezra, only a portion of Judah, Benjamin, and Levi returned to Jerusalem after their Babylon captivity. The ten tribed House of Israel remained scattered in captivity, never returning to the holy lands. That's why God gave the below Ezekiel 37 prophecy about two separate sticks to point to two separate groups of Israelite peoples, not just of Judah (Jews)...
Ezek 37:16-17
16 Moreover, thou son of man, take thee one stick, and write upon it, For Judah, and for the children of Israel his companions: then take another stick, and write upon it, For Joseph, the stick of Ephraim, and for all the house of Israel his companions:
17 And join them one to another into one stick; and they shall become one in thine hand.
(KJV)