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What you fail to understand is that God does actually desire that all sinners be saved (1 Timothy 2:4; 2 Peter 3:9; Ezekiel 18:23; Matthew 23:37). If what you believe is true, then all such statements are lies. The doctrine that you profess has a god that imputes the sin of one man onto all mankind and then corrects the result of that imputation for only some. The only conclusion to such a teaching is that some if not all of those lost are the direct result of God's actions and thus God's fault. Such is what you teach.
What you fail to understand is the meaning of all those verses you've cited, without even quoting them, never mind including the context. Not one of them supports your man-centred false teaching.
1 Tim. 2:1-6 (WEB)
1 I exhort therefore, first of all, that petitions, prayers, intercessions, and givings of thanks, be made for all men:
2 for kings and all who are in high places; that we may lead a tranquil and quiet life in all godliness and reverence.
3 For this is good and acceptable in the sight of God our Savior;
4 who desires all people to be saved and come to full knowledge of the truth.
5 For there is one God, and one mediator between God and men, the man Christ Jesus,
6 who gave himself as a ransom for all; the testimony in its own times;
In verse 1, we see the first mention of "all men", in this context. The very next verse shows the correct interpretation of "all men" here: "all categories of men" (the examples given are "kings" and those in "high places" - categories, not individuals). This is the context of verse 4, in which "all people" means "all categories of people", not every single person. The same goes for "ransom for all", in verse 6.
This is why context is so important, and, I suspect, why freewillers usually omit it.
2 Pet. 3: 8,9 (WEB)
8 But don’t forget this one thing,
beloved, that one day is with the Lord as a thousand years, and a thousand years as one day.
9
The Lord is not slow concerning his promise, as some count slowness; but
is patient with us, not wishing that any should perish, but that all should come to repentance.
Again, the immediate context is vital. Verse 8 shows that Peter is referring to God's beloved elect. The Lord is not slow concerning his promises to his beloved, but is patient
with us, not willing that any of us should perish, but that all of us should come to repentance. This is a wonderful encouragement to God's people; but, freewillers (omitting the context) turn it into pathetic, hand-wringing wishful thinking, on God's part.
Later on, in the same passage, it's confirmed that this is a promise for those whom God has chosen to salvation and that it's certain to happen.
2 Pet. 3:15 (WEB)
Regard the patience of our Lord as salvation; even as our beloved brother Paul also, according to the wisdom given to him, wrote to you;
This patience that God shows
to us (verse 9 - his beloved elect) is salvation, as contrasted with his patience towards those who are not elect, which is merely putting up with their wickedness long enough to fulfil his purposes.
Ez. 18: 20-24 (WEB)
20 The soul who sins, he shall die: the son shall not bear the iniquity of the father, neither shall the father bear the iniquity of the son; the righteousness of the righteous shall be on him, and the wickedness of the wicked shall be on him.
21 But if the wicked turn from all his sins that he has committed, and keep all my statutes, and do that which is lawful and right, he shall surely live, he shall not die.
22 None of his transgressions that he has committed shall be remembered against him: in his righteousness that he has done he shall live.
23 Have I any pleasure in the death of the wicked? says the Lord Yahweh; and not rather that he should return from his way, and live?
24 But when the righteous turns away from his righteousness, and commits iniquity, and does according to all the abominations that the wicked man does, shall he live? None of his righteous deeds that he has done shall be remembered: in his trespass that he has trespassed, and in his sin that he has sinned, in them shall he die.
Note that this is to Israel,
under law. The law is all about, "Do this and live; do that and die.". We are not under law, but under grace, in the New Covenant, and, anyway, salvation has never been by attempting to keep the law.
Regarding verse 23, in particular: God tells them that he doesn't want them to be put to death, for law-breaking, but to turn back to law-keeping and live. This has ABSOLUTELY NOTHING to do with salvation by grace through faith.
Matt. 23: 29-37 (WEB)
29 “Woe to you, scribes and Pharisees, hypocrites! For you build the tombs of the prophets, and decorate the tombs of the righteous,
30 and say, ‘If we had lived in the days of our fathers, we wouldn’t have been partakers with them in the blood of the prophets.’
31 Therefore you testify to yourselves that you are children of those who killed the prophets.
32 Fill up, then, the measure of your fathers.
33 You serpents, you offspring of vipers, how will you escape the judgment of Gehenna ?
34 Therefore, behold, I send to you prophets, wise men, and scribes. Some of them you will kill and crucify; and some of them you will scourge in your synagogues, and persecute from city to city;
35 that on you may come all the righteous blood shed on the earth, from the blood of righteous Abel to the blood of Zachariah son of Barachiah, whom you killed between the sanctuary and the altar.
36 Most certainly I tell you, all these things will come upon this generation.
37 “Jerusalem, Jerusalem, who kills the prophets, and stones those who are sent to her! How often I would have gathered your children together, even as a hen gathers her chicks under her wings, and you would not!
This is towards the end of a long list of stern rebukes to the Pharisees and Saducees.
Re. verse 37: I've recently explained this verse, in a different post, so I'll just repeat some of that post here.
1) There are three sets of people mentioned here: Jerusalem (i.e. its religious rulers, the Pharisees and Saducees); the "children" (i.e. those who were ruled over);and Jesus himself.
2) Jesus wanted to gather to himself, not every single person, but those who were ruled over in general.
3) The Pharisees and Saducees were unwilling for this to happen, as was seen throughout Jesus' ministry.
4) In spite of this opposition, as we know from elsewhere, everyone the Father gave to Jesus did (and does) come to Jesus, and will be raised up at the last day.
John 6:37-39 (KJV)
37
All that the Father giveth me shall come to me; and him that cometh to me I will in no wise cast out.
38 For I came down from heaven, not to do mine own will, but the will of him that sent me.
39 And
this is the Father's will which hath sent me, that of all which he hath given me I should lose nothing, but should raise it up again at the last day.
John 6:43,44 (KJV)
43 Jesus therefore answered and said unto them, Murmur not among yourselves.
44
No man can come to me, except the Father which hath sent me draw him: and I will raise him up at the last day.