It is not the Messianic kingdom though. That will not happen until Jesus returns in full glory as the Messiah. Just what does that mean? Jesus comes and destroys the enemies of Israel, and establishes His kingdom. That is what the Jews always believed. Jesus did not tell the disciples they were wrong for believing that. From John MacArthur: "But 3x in Acts 2-4 we are told he already has been enthroned. Remember, we are not looking for 'external signs, so that you would say 'here it is' or 'there it is' because the reign of God is among you.' (in the gospels). This is also why Acts 1 says not to look for 'the restored kingdom of Israel.' We have an 'imperative' kingdom, not one that has a date fixed to it and offices and buildings. (The resurrection is a date, of course; but you mean at some future time like Acts 1).
(1) About the Lord's coming
The word coming in Matthew 24:3 is translated from the Greek word parousia. It means "to be around" or "to be present." The best way to translate the verse might be, "What shall be the sign of Your full presence?" The disciples were referring more to the Lord's permanent presence, not His coming. Parousia was also used in verses 27, 37, and 39. Because the Lord used it frequently to refer to His return, the New Testament writers did the same (James 5:8, 2 Peter 3:4, 1 John 2:28). Parousia became synonymous with Christ's arrival to set up His kingdom. However, when the disciples asked about the Lord's coming in Matthew 24:3, they were saying, "When are You going to arrive in Your full Messianic revelation? When will You become all that we anticipate You to be?" They didn't think in terms of His leaving and returning; they simply thought the Lord would soon make a transition to setting up His kingdom."
"3952 parousía (from parōn, "be present, arrive to enter into a situation") – properly, coming, especially the arrival of the owner who alone can deal with a situation (cf. LS). 3952 (parousía) is a "technical term with reference to the visit of a king or some other official, 'a royal visit' " (Souter) – "hence, in the NT, specifically of the Advent or Parousia of Christ" (A-S).
[3952 (parousía) is "used in the east as a technical expression for the royal visit of a king, or emperor. The word means literally 'the being beside,' thus, 'the personal presence' " (K. Wuest, 3, Bypaths, 33).]"
This is judgement fulfilled against the unregenerate, the non-elect of Israel for all the sins of Israel. God is clear that it speaks only to a season. I don't remember where the prophecy is, but it says that the land will enjoy all the sabbaths while desolate. This speaks to the possibility (I say definitiveness) of Israel not remaining desolate. God gave the land a rest from the evil, sinful Israelites.Then there is the question of wrath: Jesus (Luke 21) and Paul both say the wrath of God on Israel was upon them. In Mt 23, Jesus says the house is already desolate. That's pretty early on!
"4 And being assembled together with them, He commanded them not to depart from Jerusalem, but to wait for the Promise of the Father, “which,” He said, “you have heard from Me; 5 for John truly baptized with water, but you shall be baptized with the Holy Spirit not many days from now.” 6 Therefore, when they had come together, they asked Him, saying, “Lord, will You at this time restore the kingdom to Israel?” 7 And He said to them, “It is not for you to know times or seasons which the Father has put in His own authority. 8 But you shall receive power when the Holy Spirit has come upon you; and you shall be [c]witnesses to Me in Jerusalem, and in all Judea and Samaria, and to the end of the earth.”"Here is a great question: if Acts 1 says not to seek that, what does it allow us to seek? That is the answer.
Here Jesus is telling them that it is not for thme to know times or seasons. But, but, but, I thought the Olivet discourse was clear that it is NOW, the season is now, it is this generation. No. No it isn't. Jesus is restoring the kingdom to Israel at another time/season. But, what you are to do is to be witnesses to Jesus in Jerusalem, in all Judea and Samiaria, and to the end of the earth, after receiving the Holy Spirit with power.