Does God hear the unregenerates' prayers ? I'd say yes. But does He acknowledge them? No. When we pray, we are to pray to God through Jesus' name. The unregenerate have no authority to call upon God in the name of Jesus. Nil. Zilch. Nada. Zip. Zero.
Wait a minute SG, God did acknowledge Cain's complaint and granted him a respite:
Genesis 4
11 And now art thou cursed from the earth, which hath opened her mouth to receive thy brother's blood from thy hand;
12 When thou tillest the ground, it shall not henceforth yield unto thee her strength; a fugitive and a vagabond shalt thou be in the earth.
13
And Cain said unto the LORD, My punishment is greater than I can bear.
14 Behold, thou hast driven me out this day from the face of the earth; and from thy face shall I be hid; and I shall be a fugitive and a vagabond in the earth; and it shall come to pass, that every one that findeth me shall slay me.
15
And the LORD said unto him, Therefore whosoever slayeth Cain, vengeance shall be taken on him sevenfold. And the LORD set a mark upon Cain, lest any finding him should kill him.
This was an intelligent dialogue SG between God and a regenerate, there is no way around it.
May I also remind you that satan and God had a lengthy dialogue in the Book of Job.
God does whatever He wants, talks to whomever He wants, has conversations even with the devil whether it fits our particular version of systematic theology or not.
Psalm 115:3 But our God is in heaven; He does whatever He pleases.
In fact God communicates with every human being born of woman.
RE: John the Baptist and the light of the world (Jesus).
John 1
7 This man came for a witness, to bear witness of the Light, that all through him might believe.
8 He was not that Light, but was sent to bear witness of that Light.
9 That was the true Light
which gives light to every man coming into the world.
RE: The Holy Spirit and the reproval of sin.
John 16
7 Nevertheless I tell you the truth; It is expedient for you that I go away: for if I go not away, the Comforter will not come unto you; but if I depart, I will send him unto you.
8 And when he is come,
he will reprove the world of sin, and of righteousness, and of judgment:
9 Of sin, because they believe not on me;
10 Of righteousness, because I go to my Father, and ye see me no more;
11 Of judgment, because the prince of this world is judged.
Reprove ( Grk.
elegcho).
Friberg 01725 : To show someone that he has done something wrong.
UBS - 02013 : To show someone his fault or error. To convince some one of his fault or error.
LuoW-Nida - 02125 To rebuke, To reproach.
Every individual in the the world is being or has been rebuked for his/her sin not just the elect, therefore no one will have an excuse if they did not come to the light for the remedy. The elect will need no excuse because they walk in the light.
HankD