For this reason also, God highly exalted Him, and bestowed on Him the name which is above every name, so that at the name of Jesus every knee will bow, of those who are in heaven and on earth and under the earth, and that every tongue will confess that Jesus Christ is Lord, to the glory of God the Father. Philippians 2:9-11
I exhort therefore, that, first of all, supplications, prayers, intercessions, and giving of thanks, be made for all men... for this is good and acceptable in the sight of God our Saviour; who will have all men to be saved, and to come to the knowledge of the truth. For there is one God, and one mediator between God and men, the man Christ Jesus; who gave Himself a ransom for all, to be testified in due time. I Tim. 2:1-6
I believe that one day all will come to believe, in God's own timing, and according to His purpose for each person individually.
I believe that all punishment is corrective and serves His purposes and will end when those purposes are accomplished, when disbelief and rebellion are burned away by the loving correction of God.
I believe that it is God's will that all be saved, and I believe that God has the power to change the hearts of all so that His desire is fulfilled. I don't believe that anyone, no matter how strong-willed, or self-willed, can resist forever the will of God.
And in keeping with the topic of the Thread ...
I believe in the Second Coming as prophesied, and believe that it too will come to pass, just as the birth, death, burial and resurrection were prophesied and came to pass.
And I don't believe that God predicts the future, I believe that God creates the future, and that what He has told us will happen will happen.
Of course no one can prove the existence of God, just like no one can prove that He speaks to mankind through the Bible, and I suspect that that is the way God has designed it.