The reason why everyone Christ died for shall live by Faith, because, everyone He died for shall be born again by His Resurrection from the dead 1 Pet 1:3
3 Blessed be the God and Father of our Lord Jesus Christ, which according to his abundant mercy hath begotten us again unto a lively hope by the resurrection of Jesus Christ from the dead,
The Resurrection of Jesus Christ is both the basis and the cause of the New Birth. The Elect live from the Life communicated to them from the Resurrection, this was prophesied !
Isa 26:19
Thy dead men shall live, together with my dead body shall they arise. Awake and sing, ye that dwell in dust: for thy dew is as the dew of herbs, and the earth shall cast out the dead.
The Elect in the Purpose of God rose up together with Christ their Head, so says Paul Eph 2:5-6
5 Even when we were dead in sins, hath quickened us together with Christ, (by grace ye are saved)
6 And hath raised us up together, and made us sit together in heavenly places in Christ Jesus:
You just lack Spiritual Understanding. The Whole Church of God raised up together with Christ when God raised Him up from the Dead.
That is why the Spirit must give them New Birth, because of the Resurrection !
None of that had absolutely nothing to do with the Elect's Faith ! All Christ ! He gets all the Glory, not even the Holy Spirit wants any Glory, for as Christ says, He [ The Holy Spirit] shall not speak of Himself, but shall Glorify ME Jn 16:13-14
13 Howbeit when he, the Spirit of truth, is come, he will guide you into all truth: for he shall not speak of himself; but whatsoever he shall hear, that shall he speak: and he will shew you things to come.
14 He shall glorify me: for he shall receive of mine, and shall shew it unto you.