Libertarian free will is a myth, as well.
Libertarian free will is the position that the unbeliever’s free will is sufficiently self-contained, self-sufficient, and self-caused (without external coercion) so as to be able to accept or reject Christ as Savior, on his own, apart from God's enabling. It assumes that the sinful will is somehow capable, by virtue of being "free", to be able to choose to believe in God and follow him through Christ.
First of all, this violates scripture which says that man is deceitful (Jer. 17:9), full of evil (Mark 7:21-23), loves darkness rather than light (John 3:19), does not seek for God (Rom. 3:10-12), is ungodly (Rom. 5:6), dead in his sins (Eph. 2:1), by nature a child of wrath (Eph. 2:3), cannot understand spiritual things (1 Cor. 2:14), and is a slave of sin (Rom. 6:16-20). Therefore, how is it possible that an unbeliever who cannot understand spiritual things (1 Cor. 2:14), who does not seek for God (Rom. 3:10-12), and who is a slave of sin (Rom. 6:14-20), simply "chooses" God?
Second, libertarian free will promotes the non-Christian idea of independence from God and suggests that the unbeliever's final decision to receive Christ is dependent on nothing than his own self-contained, self-caused, autonomous free will choice. Furthermore, this position attributes to a created thing (human free will) that which belongs only to the uncreated God: autonomous, self-sustained, self-causation.
And...
It would further mean that God's choice to regenerate a person would be based on the sinner's choice to accept Christ. In other words, God's choice of salvation is contingent on the sovereign, autonomous, free-will decision of any particular sinner. This means that God's choices are contingent on man's and this violates the doctrine of God's non-contingency.
Some would say that God looks into the future to see who would choose him. But this would mean that God was learning and t and this violates 1 John 3:20 that says a God knows all things.
Others say that since God knows all things, he knows what any particular choice will be of any sinner in any circumstance and works the circumstances to accomplish his will. But this defeats the libertarian position since it is God who is then predestining them for salvation based on the circumstances that he sovereignly decrees. It would also mean that God has chosen circumstances by which others would not be saved.
Still others say that God gives prevenient grace (grace that comes before) to people to enable them to freely choose him. But this is problematic because God would know how much grace to give to any individual to bring him into salvation. Furthermore, it still does not answer the question of why one person chooses and another does not after being given this "prevenient grace". If they the response is that it is because of a person's free will, then we go back to the first problem of advocating self-contained, self-sufficient, and self caused free will that is independent of God - and this is idolatrous.
Furthermore, if libertarian free will is true, then we would not have verses in the Bible that say that God grants us belief (Phil. 1:29), or "as many as God appointed to eternal life, believed," (Acts 13:48), or that our believing is the work of God (John 6:29), or that we cannot come to Jesus unless it has been granted to us from the Father (John 6:65).
Let's think...