You've boldened the statement in point #4 that humans are capable of resisting God's will and cited Matt. 23:37 as an example. This is a common passage used by Arminians to try to refute Irresistible Grace, but it is not saying that at all. God's will and God's grace are two separate things. And there are different ways that the Bible speaks of God's will.
What is the context of Jesus' statement? The context in chapter 23 is Jesus' denunciation of the Jewish religious leaders who murdered the prophets (23:31) and are therefore the enemies of God. Jesus even lays at their feet the blood of Abel and Zechariah (23:35), which is a way of saying that these leaders are following in the footsteps of those who have opposed God and killed His messengers from the first to the last. He even says that they will continue to kill his followers after him (23:34). Verse 37 is the conclusion of Jesus' denunciation of the leaders. But notice what he doesn't say. Jesus doesn't say that he wanted to gather them but they were unwilling, he says that he wanted to gather Jerusalem's children. In other words, those whom he intends to gather are not those whom he was talking to. He is not even speaking of regenerating grace in this passage, he is speaking of earthly powers who oppose the kingdom of God, but in the end will only end up in destruction for it (23:33, 38). He doesn't say "I wanted to gather you to myself but you wouldn't let me!" In effect, he is saying "I have been longing for the day when I gather my children together, but you who have opposed me all along will not be a part of that, your end will be destruction!" And Jesus, the true and good Israel, was right there fulfilling his Messianic task, advancing the history of redemption towards that ultimate day prophesied when he will gather his children from the four corners of the earth and we will be with him. Truly then he will be our God and we will be his people.