First of I think you should look up what Prevenient Grace is, it is not as you say a form of
irresistible influence. If it were then that would be the same as what the Calvinist posit. Just because God shows His grace toward us does not mean that all will respond in a positive way. Therein lays the major difference between the God of the bible and the god of Calvinism.
As I stated it a form not the same as. Both involve God doing an act, in which humans have no influence, in order to accomplish some goal.
So both do in some manner have a type or form of irresistible grace, most just don’t want to admit it.
Prevenient Grace broadly speaking, this is the grace that “goes before”—that grace which precedes human action and reflects God’s heart for his creation. It testifies to God’s being the initiator of any relationship with him and reveals him as one who pursues us.
You say "There is no Bible authority given for such a scheme" well I would suggest that these verses say differently:
Joh_1:9 “There was the true Light which, coming into the world, enlightens every man.”
Joh_12:32 “And I, if I am lifted up from the earth, will draw all men to Myself.”
Rom_2:4 “Or do you think lightly of the riches of His kindness and tolerance and patience, not knowing that the kindness of God leads you to repentance?“
Tit_2:11 “For the grace of God has appeared, bringing salvation to all men,”.
However intentional it may seem from a human perspective, there is no place seen in the Scriptures of such Grace in action, more pointedly, there is no reference associated with such Grace that gives substance to a foundational doctrine needed for support.
Rather, as the verses you demonstrate some may read into them some kind of “grace,” but that thinking is basically extra biblical and not worthy of more than a casual supposition.
Point 2] Are you saying that God does not love the world and does not want all to be saved? Just because all do not come to faith does not mean that God does not desire that does it? God loves His creation but He cannot force us to love Him, if He did then it would not be love on our part would it or for that matter on His.
Do not the Scripture state twice, once to Moses and quoted by Paul, “I will have mercy…”
Does not scripture also state, “Jacob I loved Esau…”
Point 3] Do you not agree that God is omnipotent? As I just said He could force people to act in whatever manner He chose but would a loving God do that? I say no, He would not.
Then what of Moses, Jonah, Saul/Paul,
What does Isaiah 40 say concerning this matter of God’s authority over folks.
Point 4] So what do you think the purpose of God is? I believe it is to have a saved people that love and worship Him. Would you not agree? So if that were not His intent but was instead it was to just pick out a select group and make them love Him, that's an oxymoron, then He could do it couldn't He.
Certainly, God has always had a remnant to love and worship him, but on His terms, not ours.
Do not present God as accountable to humankind.
Such is given in Romans 11:
28Concerning the gospel they are enemies for your sake, but concerning the election they are beloved for the sake of the fathers. 29For the gifts and the calling of God areirrevocable.
30For as you were once disobedient to God, yet have now obtained mercy through their disobedience,
31even so these also have now been disobedient, that through the mercy shown you they also may obtain mercy.
32For
God has committed them all to disobedience, that He might have mercy on all.
33Oh,
the depth of the riches both of the wisdom and knowledge of God! How unsearchable are His judgments and His ways past finding out!
34“For who has known the mind of the Lord?
Or who has become His counselor?”
35“Or who has first given to Him
And it shall be repaid to him?”
Point 6] If God is all these, omnibenevolent, omnipotent, omniscient. Which He is then how can Calvinism be true. Would the God of this character force some to be with Him while at the same time rejecting all others by no fault of their own?
Just as God first loved us and therefore we now knowing such can shed such abroad in our hearts, the great mercy and Grace of God that brought us salvation compels us to distribute the seed not sparring the slightest corner of the world, knowing that God has both love and severity.