Christ's Apostles, the OT prophets, and Jesus will be there, with His Church. You may call that Israel, but I don't think that is who you are pointing to.
Based on what you have already said about the idea of 'saints', you apparently believe that orthodox Jews that rejected Jesus of Nazareth will somehow magically become saints in His Church when He returns, and will gather them along with His Church to go to Jerusalem. Well, that isn't written.
Here is what is... written about those unbelieving Jews when Jesus returns:
Rev 1:7
7 Behold, He cometh with clouds; and every eye shall see Him, and they also which pierced Him: and all kindreds of the earth shall wail because of Him. Even so, Amen.
KJV
Matt 24:30-31
30 And then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory.
31 And He shall send His angels with a great sound of a trumpet, and they shall gather together His elect from the four winds, from one end of heaven to the other.
KJV
The Mark 13:24-27 version has His elect that are on earth being gathered. Both examples together represent what Apostle Paul taught in 1 Thessalonians 4. That is not... about a gathering of unbelieving Israel.
Zech 12:7
7 The LORD also shall save the tents of Judah first, that the glory of the house of David and the glory of the inhabitants of Jerusalem do not magnify themselves against Judah.
KJV
Christ (with His elect) will touch down upon the Mount of Olives per Zechariah 14 on the "day of the Lord". And they will reign in Jerusalem over all nations with a "rod of iron", including over the nation of Israel. That is how the house of Judah there in today's state of Israel will be saved, not suffering destruction by the nations that surround Jerusalem on God's day of vengeance.
Zech 12:9-10
9 And it shall come to pass in that day, that I will seek to destroy all the nations that come against Jerusalem.
10 And I will pour upon the house of David, and upon the inhabitants of Jerusalem, the spirit of grace and of supplications: and they shall look upon Me Whom they have pierced, and they shall mourn for Him, as one mourneth for his only son, and shall be in bitterness for Him, as one that is in bitterness for his firstborn.
KJV
It is that day when true Judah that was deceived will have their blindness which God put upon them removed, and many of them will believe on Jesus as The Christ. That is who Jesus was talking about in Luke 23 with the daughters of Jerusalem, telling them not to weep for Him, but for theirselves, because the day will come when they shall say, "... Blessed are the barren, and the wombs that never bare, and the paps which never gave suck." (Luke 23:29). They will have been deceived by false messiah, and will be in shame, and will bless those who didn't fall away. We are to spiritually remain "a chaste virgin" waiting on Jesus to come. Those who remain faithful to Jesus will remain so. The orthodox Jews who follow the "synagogue of Satan" will not remain faithful, and will be found in shame when Jesus appears. They will know it too, which is why they will mourn for Jesus as one who mourns for his only son.