This notion implies that the Kingdom of Heaven was offered to the nation of Israel, but, due to their lack of response in repentance and belief, the offer was removed and will not be reinstated at Jesus’ Second coming.
This is disproved on the basis of a few basic texts, and has nothing in support of it, other than conjecture.
For he has rescued us from the dominion of darkness and brought us into the kingdom of the Son he loves, in whom we have redemption, the forgiveness of sins.
Colossians 1:13-14 (emphasis mine)
Those who are saved are “brought into” the Kingdom.
For two whole years Paul stayed there in his own rented house and welcomed all who came to see him. He proclaimed the kingdom of God and taught about the Lord Jesus Christ—with all boldness and without hindrance!
Acts 28:30-31
The Gospel Paul preached was also the Gospel of the Kingdom.
I, John, your brother and companion in the suffering and kingdom and patient endurance that are ours in Jesus, was on the island of Patmos because of the word of God and the testimony of Jesus.
Revelation 1:9
John says he was a brother and a companion in the Kingdom then.
But I will come to you soon, if the Lord wills, and I shall find out, not the words of those who are arrogant but their power. For the kingdom of God does not consist in words but in power.
1 Corinthians 4:19-20
Paul was talking about the Kingdom, and saying it was not about words but power. This is in reference to v19 of the individuals then in existence. Paul’s statement of the Kingdom consisting of power therefore must be in reference to a then statement, as both Paul and “those who [were] arrogant” are both fallen alseep. No future, postponed Kingdom could be in view.
Clearly, the proponents of such a notion that the Kingdom was put on hold was not in view by Paul when he spoke these things, inspired by the Holy Spirit, in writing the Words of Scripture. The Kingdom was not post-poned in Paul’s mind, but was His Gospel. None of the other apostles made any other distinction from what Jesus taught, that the law and the prophets were until John, and since that time the Kingdom is being preached, and the forceful are forcing their way into it, or taking it by force (Luke 16:16).
This, rather, is the definitive declaration of the Kingdom, and the lack scripture to contravene this statement is sufficient evidence that it has not changed and therefore automatically applies to all the epistles and New Testament writing, regardless of whether it is explicitly mentioned as such in those.