We must really be fishing here, Not a single one of these texts deals with beleivers in particular. They all reference the Work of Christ reconciling, redeeming the world. It is this Gift that is the beginning of our salvation, which makes our relationship by and through faith even possible.
All things were reconciled by His Blood, Col 1:20,
Christ reconciled the world, II Cor 5:18-19, Rom 3:23-25, Rom 5:5-10.
It is his death and resurrection that gave life to all men, Rom 5:18, II Cor 15:22.
Christ overcame death, Heb 2:14, II Tim 1:10, the death of Gen 3:19, Rom 5:12.
It is the second part of this Gift that this discussion entails. His offer of being united with Him in a relationship now and for eternity. That relatioship has conditions, obligations for those in that relationship, and to inherit the promise at the end, one must be faithful, not loose faith.