Please tell who does not have faith when Jesus is finished with them or do you believe Jesus atonement is not effective in quality and scope? If one can not believe in God that saved them because Jesus is the Savior of the whole world then Jesus has not saved them or his atonement is ineffective. I would not go either route when you consider all the scriptures showing that God will make all complete in him:The truth is the benefits of Christ's atonement are applied only to those who are found to be in Christ through faith
Col 1:19 For it pleased the Father that in him should all fulness dwell;
Col 1:20 And, having made peace through the blood of his cross, by him to reconcile all things unto himself; by him, I say, whether they be things in earth, or things in heaven.
This includes all which is the present church who Jesus has called to himself and the ones that come in later.
Please take note:
Eph 1:10 That in the dispensation of the fulness of times he might gather together in one all things in Christ, both which are in heaven, and which are on earth; even in him:
Eph 1:11 In whom also we have obtained an inheritance, being predestinated according to the purpose of him who worketh all things after the counsel of his own will:
Eph 1:12 That we should be to the praise of his glory, who first trusted in Christ.
Consider the Reformed doctrine false, and heretical, and anti-Christ and expose their damaging doctrine that denies Jesus as the Savior of the whole world. Do you do that? If not you ought to!
There is a consummation of the ages when Death shall be vanquished and God will be all in all. Who is teaching it?
1Co 15:22 For as in Adam all die, even so in Christ shall all be made alive.
1Co 15:23 But every man in his own order: Christ the firstfruits; afterward they that are Christ's at his coming.
1Co 15:24 Then cometh the end, when he shall have delivered up the kingdom to God, even the Father; when he shall have put down all rule and all authority and power.
1Co 15:25 For he must reign, till he hath put all enemies under his feet.
1Co 15:26 The last enemy that shall be destroyed is death.
1Co 15:27 For he hath put all things under his feet. But when he saith all things are put under him, it is manifest that he is excepted, which did put all things under him.
1Co 15:28 And when all things shall be subdued unto him, then shall the Son also himself be subject unto him that put all things under him, that God may be all in all.
This has all to do with God saving all and that does not mean only the elect are saved which are chosen out of the called to Christ because all are called. Now, many are called and few are chosen but in what context because we have the first fruit remnant, the Bride made ready and yes, the children of the bride which is not taught but it does not mean there are no scriptural implications to indicate this because there are!
Now, one last scripture to consider that shows God desire or will and God fulfills his will or desire:
1Ti 2:3 For this is good and acceptable in the sight of God our Saviour;
1Ti 2:4 Who will have all men to be saved, and to come unto the knowledge of the truth.
1Ti 2:5 For there is one God, and one mediator between God and men, the man Christ Jesus;
1Ti 2:6 Who gave himself a ransom for all, to be testified in due time.
Do not get caught up with those who try to qualify "all" to makes Jesus atonement mean God only is calling some to himself because it is an outright lie an a denial of Jesus saving the whole world.
1Jn 2:2 And he is the propitiation for our sins: and not for ours only, but also for the sins of the whole world.
1Ti 4:9 This is a faithful saying and worthy of all acceptation.
1Ti 4:10 For therefore we both labour and suffer reproach, because we trust in the living God, who is the Saviour of all men, specially of those that believe.
The reformed doctrine ought to be exposed for its major errors and though they have many things right they deny Jesus is the Savior of the world thus deny the faith!
God bless you,