"Reconcile" bears the meaning of ......
coexisting in harmony, compatibility
So I would say that isn't a description of those of mankind denying God in the world.
The reconciled can only be those that are compatible and living in harmony
with God, not
against.
2Co 5:14 For the love of Christ constraineth us; because we thus judge, that if one died for all, then were all dead:
2Co 5:15 And that he died for all, that they which live should not henceforth live unto themselves, but unto him which died for them, and rose again.
Rom 5:6 For when we were yet without strength, in due time Christ died for the ungodly.
Rom 5:7 For scarcely for a righteous man will one die: yet peradventure for a good man some would even dare to die.
Rom 5:8 But God commendeth his love toward us, in that, while we were yet sinners, Christ died for us.
Rom 5:9 Much more then, being now justified by his blood, we shall be saved from wrath through him.
Rom 5:10 For if, when we were enemies, we were reconciled to God by the death of his Son, much more, being reconciled, we shall be saved by his life.
Looking at these two passages I would say that reconciliation takes place irrespective of one's position with God; that's what "ungodly' and "sinner" means.
It's what takes place after 'reconciliation' that matters.
That's where understanding what these verses below are saying become important.
Heb 10:5 Wherefore when he cometh into the world, he saith, Sacrifice and offering thou wouldest not, but a body hast thou prepared me:
1Jo 4:1 Beloved, believe not every spirit, but try the spirits whether they are of God: because many false prophets are gone out into the world.
1Jo 4:2 Hereby know ye the Spirit of God: Every spirit that confesseth that Jesus Christ is come in the flesh is of God:
1Jo 4:3 And every spirit that confesseth not that Jesus Christ is come in the flesh is not of God: and this is that spirit of antichrist, whereof ye have heard that it should come; and even now already is it in the world.
1Jo 4:4 Ye are of God, little children, and have overcome them: because greater is he that is in you, than he that is in the world.
1Jo 4:5 They are of the world: therefore speak they of the world, and the world heareth them.
1Jo 4:6 We are of God: he that knoweth God heareth us; he that is not of God heareth not us. Hereby know we the spirit of truth, and the spirit of error.