I disagree with your analogy of this chapter, especially the part I bolded. Jesus was always very clear that it was a person's responsibility to hear God and believe.
Can you explain where I misinterpreted John 6?
Mar 4:24 And he said unto them, Take heed what ye hear: with what measure ye mete, it shall be measured to you: and unto you that hear shall more be given.
25 For he that hath, to him shall be given: and he that hath not, from him shall be taken even that which he hath.
Read the parables of Jesus. Many times his disciples did not understand the parables any better than any other person. But there was one MAJOR difference, the disciples DESIRED to know what Jesus meant, and they would follow after him and ask him to explain the parables.
Mar 4:10 And when he was alone, they that were about him with the twelve asked of him the parable.
Mar 7:17 And when he was entered into the house from the people, his disciples asked him concerning the parable.Many times the disciples did not understand Jesus's parables. The difference is that they wanted to know and asked Jesus to explain them to them.
I dont disagree with any of these verses you quoted and I would underline Mathew 13:11, "To you it has been given to know the secrets of the kingdom of heaven, but to them it has not been given."
You are correct that people must "want it" must be "humble" and must have a receptive heart and in some wild way we can say they are doing it or coming to themselves as the parable of the prodigal son says. Yet why are they coming to themselve and believing in Christ? Could it be that the Spirit is drawing them in as John 6 says? Could that be the missing link to why some totally miss the point and remain in sin and others have such pure thoughts and new motives to desire Christ? I say yes, it is the Spirit who makes a man willing, think straight, be receptive, have new desires, and so on.
Furthermore, you are right that the disciples had private teaching sessions and were wanting to know more. Most of the time they missed the teachings of Jesus it seems but they had something that could not be taken away, that is, they trusted Christ. I believe that was the Spirit who was keeping them and leading them to believe and stick with Christ even when nothing made sense to them.
Mat 7:7 Ask, and it shall be given you; seek, and ye shall find; knock, and it shall be opened unto you:
Ask. Seek, Knock
If you don't know, it is your own fault.
I believe this passage to be true just the same way you do. I believe those who ask, seek, and continue knocking will be given more and more from God.
Where we differ is that I don't think people who dont have the Holy Spirit at least working in their lives are going to live lives of asking, seeking, and knocking.
All of this random verse quoting is helping us understand John 6 though, it is just causing us to go in circles.