Welcome to Baptist Board, Lindell. It is extremely easy to pull out individual verses to support a point you wish to 'prove'. I know an extreme case of this where a woman claimed that because the Bible states "God is love" that her adulterous relationship was of Him!
First of all, then, you need to especially consider verses which seem to disagree with you, and not reinterpret or take them out of context. Second, the rule of thumb is to let Bible explain Bible. For instance, the use of 'many' by Jesus in Matthew 20:28. Compare that with Acts 5:19: "For just as through the disobedience of the one man the many were made sinners, so also through the obedience of the one man the many will be made righteous." What does 'many' mean there? Does it mean not all were made sinners? We know better because of the Bible. Did Jesus use 'many' in the same way? When we look at other things He said, it seems that may be the case.
John 17:2 is part of Jesus high priestly prayer: "For you granted him authority over all people that he might give eternal life to allthose you have given him." We see something of this in Jesus statements in John 6: "All that the Father gives me will come to me, and whoever comes to me I will never drive away." and "No one can come to me unless the Father who sent me draws him..." a little bit further on. And then "This is why I told you that no one can come to me unless the Father has enabled him."
It looks pretty conclusive. Until you check in with some other things.
"Therefore everyone who hears these words of mine and puts them into practice is like a wise man whio bilt his house on the rock..." Matt. 7:24
A choice is indicated there
"Whoever acknowledges mea before men, I will also acknowledge him before my Father in heaven. But whoever disowns me before men, I will disown him before my Father in heaven." Matt. 10:32-33
A choice is indicated there
"He who receives you receives me, and he who receives me receives the one who sent me." Matt. 10:40
A choice is indicated there
"Come to me, all you who are weary and burdened, and I will give you rest. Take my yoke upon you and learn from me, for I am gentle and humble in heart, and you will find rest for your souls. For my yoke is easy ad my burden is light." Matt. 11:28-30
There is nothing there to indicate this is a limited call, unless you think only those predestined to believe are weary and burdened!
Or combine Matthew 12:50 with John 6:29: "For whoever does the will of my Father in heaven is my brother and sister and mother...The work of God is this: to believe on the one he has sent."
This indicates a choice
"He came to that which was his own, but his own did not receive him. Yet to all who received him, to those who believed in his name, he gave the right to become children of God." John 1:11-12
Definitely indicates a will other than God's at work in the first sentence and a choice in the second.
Personally, I think the key may be found to this paradox in a combination of John 3:21 and Romans 1:18-19: "But whoever lives by the truth comes into the light, so that it may be seen plainly that what he has done has been done through God...The wrath of God is being revealed from heaven against all the godlessness and wickedness of men who suppress the truth by their wickedness, since what may be known about God is plain to them, because God has made it plain to them."
This, along with the many, many verses encouraging people to seek God (for only the very wicked refuse to seek God, as the Psalm points out), indicate that all men are presented with enough truth to know about God and that it is then what people do with that truth which will determine whether or not the Father will lead them to the Son or give them over to the lie. It will be one or the other.
If the choice for man were not real, then the writer to the Hebrews would be very ignorant in pleading with them not to harden their hearts. And God Himself would be talking nonsense when He invites people to "Come, let us reason together, ...though your sins are like scarlet, they shall be as white as snow; though they are crimson, they shall be like wool. If you are wiling and obedient, you will eat the best from the land; but if you resist and rebel, you will be devoured by the sword." Isaiah 1:18-20
All of this and so much more, which I am sure you are aware of, must be balanced against verses such as Acts 13:48, and I don't claim to be able to understand fully. But I know that man is given a choice. I also know that God has known from all eternity who will make what choice. I know that those who choose Christ are predestined to be conformed to His image by the power of the Holy Spirit within them.
But I also know that we do not know everything and that when we try to fit it all into something we can understand and sort of cope with, we are always, but always wrong. A pastor I respect highly referred to the seemingly conflicting verses as 'a divine paradox.'
Part of that paradox is acknowledging that since God has known always who would be who in the scheme of things that there seems to be an element of predestination along with that foreknowledge. But at the same time, the fact is that throughout the entire Bible, God has made the choice to mainly react to man's choices, warnings or no, and all His power and ability aside (and admitted), and therefore we must also acknowledge that He has given us free will.
For without that free will we cannot love, and love is the reason we were created. It is the core of the two foundation commandments: love God and love your neighbor. That is what we were created for. But love cannot be programmed in or it is not love. Love itself is a choice, a decision, a commitment made when that commitment does not HAVE to be made. It's what God did for us and what we were created to do for God. And to do that requires that we have a freedom of will to make that choice, that decision, that commitment. We cannot carry it out without Him indwelling us, but the choice is still ours.