Does God desire the salvation of all mankind?

The first two verses are concerning all men that are to be prayed for who are in authority that are in Ephesus. That we (the church) may lead a quiet and peaceful life.

Verse 4 - The "all men" has reference to the men in 1 Tim 1:3-7, there is a salvation (deliverance) here on earth, when babes in Christ come unto the knowledge of the truth.

Again, if you do not separate the deliverance (salvation) scriptures they will tend to teach that eternal salvation is gained by good works.

When one is being drawn as in Jn 6:44 or Jn 12:32, that the newbirth and effectual call, so the ones being drawn will convert into believers, followers.

Right, people think by saying Jesus Christ is Gods elect, somehow nullifies election of people, but it actually confirms the election of Grace, because, Jesus Christ was chosen as a Covenant, Surety Head, and His Body was Chosen in Him, His seed Eph 1:4, just as Adam had his seed in him in the beginning, so likewise Christ, who Adam was a figure, had His seed chosen in Him. So if one acknowledges Jesus Christ was Gods elect, to be consistent, you have to acknowledge the election of His Body. Everyone who in time comes to faith and following Christ, they had been chosen in Him before the foundation Eph 1:4

Im teaching what the scripture teaches. Election always results in time Salvation.

The Bible says all will not be saved. It means that God choses to not override our free will to chose a path of destruction, though He desires salvation for all.

Luke 13
23Someone asked him, “Lord, are only a few people going to be saved?”
He said to them, 24“Make every effort to enter through the narrow door, because many, I tell you, will try to enter and will not be able to.

2 Peter 3
9The Lord is not slow in keeping his promise, as some understand slowness. Instead he is patient with you, not wanting anyone to perish, but everyone to come to repentance.

Matthew 13

Matthew 22:14 ]Many are called few are chosen.

John 15:16 ''...you have not chosen me, I have chosen you. ''

I think when Jesus tells his Disciples he chose them, they did not choose him, I would be remiss to make an excuse as to how that would not also apply to those whom God calls to Jesus. Because as Jesus said, no one comes to him but the father draws, calls, them. No one comes to the father but through the door, Jesus.

Would you kindly rephrase that last sentence? I don't want to misunderstand.

Question: Do we have the freedom to choose to accept the gospel when God tells us our natural mind cannot understand it unless his Holy Spirit intervenes?

I'm going to go out on a limb here but I think the word time should be deleted. Everyone knows time salvation is for super saints. The rest of us get the untimed salvation.

OK, 'nuther question😉: Super saints, time salvation?

Just trying to keep the meme to the time theme. Means absolutely nothing.

That's why faith is required. Someone hears the gospel, they hope it's true, but don't know because they haven't experienced it. They also must strive to believe. Faith isn't something God gives us in the beginning, but He can grow it afterwards. In other words, our initial response to the gospel isn't through God's Spirit, but rather through our own choices. God responds to our faith and then gives us the Holy Spirit.

The point you're making with 1 Corinthians 2 is about something else.

The boots on the ground, the missionaries, and the preachers are going out into a world of unsaved Godless people and proclaiming the good news to them. It is their response to the good news, their exposure to the message, that allows them to have faith.

Romans 10
14How, then, can they call on the one they have not believed in? And how can they believe in the one of whom they have not heard? And how can they hear without someone preaching to them? 15And how can anyone preach unless they are sent? As it is written: “How beautiful are the feet of those who bring good news!”
16But not all the Israelites accepted the good news. For Isaiah says, “Lord, who has believed our message?” 17Consequently, faith comes from hearing the message, and the message is heard through the word about Christ.

Peter said they will receive the gift of the Holy Spirit after they repent which involves having faith the repentance is effective to produce an intended result:

Acts 2
38Peter replied, “Repent and be baptized, every one of you, in the name of Jesus Christ for the forgiveness of your sins. And you will receive the gift of the Holy Spirit.
44All the believers were together and had everything in common.

Summary:
1. People decide to have faith when they hear the gospel
2. God doesn't give His Holy Spirit to those who reject Him
3. Faith is required to have the Holy Spirit
4. The Holy Spirit lives in believers

Where in the Bible does it specifically state only Hebrew People left Egypt?

Your greatest stumbling block are those who have the Gift of Discernment.

You ain't fooling anyone, Adversary, to God's Holy Word!!

John 1:5The Light shines in the darkness, and the darkness did not comprehend it.

Why?
1 Corinthians 2:14 But a natural man does not accept the things of the Spirit of God, for they are foolishness to him; and he cannot understand them, because they are spiritually appraised.

What I mean, everyone who has been chosen in Christ before the foundation as per Eph 1:4 will sometime in their lifetime be quickened by the Spirit, because Christ also died for them, and when quickened from being dead in sin Eph 2:1 they will be given repentance and faith in Christ and belief of the Truth, the Gospel of their Salvation. Thats what I meant by time salvation

God changed Jacob's name to be no more called Jacob, but to be called Israel (Gen 32:28) Jacob/Israel represents spiritual Israel which includes people from every kindred, and tongue, and people, and nation (Rev 5:9)

It was spiritual Israel that was kept captive in Egypt.

That would be great, if you had that gift, but I am doubtful.

That’s referring to God.

Romans 11
34“Who has known the mind of the Lord?
Or who has been his counselor?”

To add onto that. We cannot have the mind of God, but we can have the mind of Christ, who was given select things to reveal to mankind:

1 Corinthians 2
16for, “Who has known the mind of the Lord so as to instruct him?” But we have the mind of Christ.