The drawing of God is not limited to just a few.
Joh 12:32 And I, if I be lifted up from the earth, will draw all men unto me.
--The ones that God "draws" are the ones that respond, to his pleading, that is the gospel.
Verses like John 6:37,44 must be taken in context with the rest of the Bible. God is not a schizophrenic.
These verses are also often taken out of their context. Remember that their were no chapter divisions in the originals. Chapter 8 carries on from chapter 7. In chapter 7 Paul describes his struggle between his two natures: the old and the new. Even when we are saved we still have that old Adamic nature residing in us. That is why Paul said:
Rom 7:25 I thank God through Jesus Christ our Lord. So then with the mind I myself serve the law of God; but with the flesh the law of sin.
--The fleshly nature is still there. Every day it had to be conquered. With the mind he serves the law of God, but the mind must actively serve the law of God. It is a struggle, not automatic. Every time we sin we are not serving the law of God but rather the law of sin, giving in to the flesh--our carnal nature.
The carnal nature does not please God, nor can it please God. Every Christian has a carnal nature.
What does James say about the carnal nature:
Jas 4:4 Ye adulterers and adulteresses, know ye not that the friendship of the world is enmity with God? whosoever therefore will be a friend of the world is the enemy of God.
--It cannot please God; it is at enmity with God; it is the enemy of God. IOW, God hates it. This verse is written to believers, to carnal Christians.
Another verse often taken out of context to support a pre-conceived idea.
What is the context. What is Paul talking about.
--The natural man, in context, refers to the immature carnal Christian described in the following chapter. He had not grown. He could only take milk and not meat. He was carnal as Paul labeled him.
I have given a detailed analysis of this passage here:
http://www.baptistboard.com/showpost.php?p=2194689&postcount=43
Quoting from the Psalms Paul never intended these to be "absolutes," but general statements.
Like Heb.9:27 "As it is appointed unto man once to die, but after this the judgment."
We know this is a general statement and there are exceptions. Elijah was an exception, and so was Enoch. Those alive at the resurrection will be exceptions.
This is a general statement about the condition of man. It is not absolute.
In general man does not seek God; that doesn't mean he doesn't have the ability.
The above statements are always interpreted within the framework of a pre-conceived theology, that is Calvinism, and thus the opportunity of looking at them in the proper light is never even considered. If your premise is wrong then your conclusion is bound to be wrong.