You wrote:
I am glad you asked this question. I think I can help you outWe labor and strive for [piety] because we have set our hope on the living God who is the savior of ALL people, especially of the faithful. I Timothy 4:10
So, if the faithless ones will NEVER be saved as you seem to suggest, then in what sense is God their Savior as this verse affirms?

Acts 5:30-32 (New King James Version)
30. The God of our fathers raised up Jesus whom you murdered by hanging on a tree. 31. Him God has exalted to His right hand to be Prince and Savior, to give repentance to Israel and forgiveness of sins. 32. And we are His witnesses to these things, and so also is the Holy Spirit whom God has given to those who obey Him.”
Here we see the sense in which he is Savior. He came to give (Grk didomi) repentance and forgiveness of sins. Didomi is a verbal noun, expressing what He is and does. We also see the same word used by John of God's giving:
John 3:16 (New King James Version)
16 For God so loved the world that He gave His only begotten Son, that whoever believes in Him should not perish but have everlasting life.
And also by Paul:
1 Timothy 2:3-6 (New King James Version)
3. For this is good and acceptable in the sight of God our Savior, 4. who desires all men to be saved and to come to the knowledge of the truth. 5. For there is one God and one Mediator between God and men, the Man Christ Jesus, 6. who gave Himself a ransom for all, to be testified in due time,
Bear in mind that it is a gift, not forced on anyone. As Peter noted, Jesus,as savior, came to give repentance and forgiveness of sins to Israel. Even though they refused His gift and crucified Him He was still the Savior, though they were faithless, just as He is to any who will come to Him.
Your system is as deterministic as Calvinism, and is based on a philosophical view, with little else other than proof-texting and disputing the translation of certain words.
I was hoping to see a comment from you regarding my previous post on Colossians 1:15-23.
God bless, Homer