Here is what the Westminster Confession states about free will and the effectual calling of man:
Of Free Will
I. God has endued the will of man with that natural liberty, that is neither forced, nor, by any absolute necessity of nature, determined good, or evil.[1]
II. Man, in his state of innocency, had freedom, and power to will and to do that which was good and well pleasing to God;[2] but yet, mutably, so that he might fall from it.[3]
III. Man, by his fall into a state of sin, has wholly lost all ability of will to any spiritual good accompanying salvation:[4] so as, a natural man, being altogether averse from that good,[5] and dead in sin,[6] is not able, by his own strength, to convert himself, or to prepare himself thereunto.[7]
IV. When God converts a sinner, and translates him into the state of grace, He frees him from his natural bondage under sin;[8] and, by His grace alone, enables him freely to will and to do that which is spiritually good;[9] yet so, as that by reason of his remaining corruption, he does not perfectly, or only, will that which is good, but does also will that which is evil.[10]
V. The will of man is made perfectly and immutably free to do good alone in the state of glory only.[11]
Chapter X
Of Effectual Calling
I. All those whom God hath predestinated unto life, and those only, He is pleased, in His appointed time, effectually to call,[1] by His Word and Spirit,[2] out of that state of sin and death, in which they are by nature to grace and salvation, by Jesus Christ;[3] enlightening their minds spiritually and savingly to understand the things of God,[4] taking away their heart of stone, and giving unto them an heart of flesh;[5] renewing their wills, and, by His almighty power, determining them to that which is good,[6] and effectually drawing them to Jesus Christ:[7] yet so, as they come most freely, being made willing by His grace.[8]
II. This effectual call is of God's free and special grace alone, not from anything at all foreseen in man,[9] who is altogether passive therein, until, being quickened and renewed by the Holy Spirit,[10] he is thereby enabled to answer this call, and to embrace the grace offered and conveyed in it.[11]
III. Elect infants, dying in infancy, are regenerated, and saved by Christ, through the Spirit,[12] who works when, and where, and how He pleases:[13] so also are all other elect persons who are incapable of being outwardly called by the ministry of the Word.[14]
IV. Others, not elected, although they may be called by the ministry of the Word,[15] and may have some common operations of the Spirit,[16] yet they never truly come unto Christ, and therefore cannot be saved:[17] much less can men, not professing the Christian religion, be saved in any other way whatsoever, be they never so diligent to frame their lives according to the light of nature, and the laws of that religion they do profess.[18] And to assert and maintain that they may, is very pernicious, and to be detested.[19]
Double predestination. Chapter Three. While parts of the Confession say man has free will, others show what this means. Chapter Three denies free will. God predetermines and foreordains - heaven or hell "without any foresight of faith, or good works, or perseverance in either of them, or any other thing in the creature, as conditions, or causes moving Him thereunto."
Not based or foreknowledge, but "These angels and men, thus predestinated, and foreordained, are particularly and unchangeably designed." Unchangeably designed to believe or not believe. Man does not have this choice.
It critical to free will and salvation that the Confession says it is predetermined whether they will believe or not. The portions you posted have to do with the process, but it is an unchangeable process, predetermined for man. Man cannot but do and choose how he was predetermined and foreordained to.
To me, this is not free will, it programming. The human executes the program, in the same way as a computer does.
Thanks for your post and courteous discussion.