God is not culpable for those faithless and lost
Correct.
yet He would be if He alone controlled who has or has no faith.
Incorrect.
God is never culpa ble for those who are lost the lost are culpable for their own decisions
Correct.
No it doesn't.
If God alone, solely controls/decides which men will or will not have faith, then God IS culpable for the faithless.
Incorrect.
Cannot give God 100% control and man 0% control then justly, rightly blame man.
Certainly He can.
Rom. 9:20 But who are you, O man, to answer back to God? Will what is molded say to its molder, “Why have you made me like this?”
21 Has the potter no right over the clay, to make out of the same lump one vessel for honorable use and another for dishonorable use?
22 What if God, desiring to show his wrath and to make known his power, has endured with much patience vessels of wrath prepared for destruction,
23 in order to make known the riches of his glory for vessels of mercy, which he has prepared beforehand for glory—
24 even us whom he has called, not from the Jews only but also from the Gentiles?
That's like condemning a man born without legs for not walking, condemning a man born blind for not seeing.
Worthless rationalization.
If God alone controls who does or does not have faith, then God in every sense of the phrase "respecter of persons" is showing respect to those whom He gave faith to over those He did not.
Incorrect.
It's about who is doing the choosing......if man chooses for himself to believe or not, then God is not showing respect of person for anyone when man chooses for himself.
That is an errant understanding of "respecter of persons".
God has made belief a necessity to salvation but God does not choose which men will or will not be in the group of believers
Yes, God does choose. That is the message from Genesis to Revelation.
Do a study on "choose", "chosen", and "elect".
and the group of non-believers therefore God is not showing respect of persons as to which group each person for himself chooses to be in.
No, because as I already explained to you (please pay attention, I don't like having to repeat myself) God being "a respecter of persons" means that God's choice is based on something a person is or does. It is the belief that God chooses for salvation those who believe that makes God "a respecter of persons".
As Rom. 9 says, God makes from the SAME lump of clay vessels for honour, and vessels for dishonour.
Peter said in the context those who fear God and work righteousness are necessary to being accepted with God.
Wrong context.
Scripture throughout teaches that salvation is "not by works" (Eph. 2:8-9, Tit. 3:5, 2 Tim. 1:9, Rom. 4:1-6, 9:11-13, 11:5-6, etc. etc.)