Both sides may have the best intentions – seeking to love God absolutely and as a distant second, seeking to love all neighbors unconditionally. (Matt 22)
Nevertheless the two aspects are opposite at the root because they see different things due to this "centering."
The sufficiency of the blood of Christ is the most important example, as you have suggested here. The self centered side would say the blood of Christ is not enough, that man has a part. The God centered side would say the blood of Christ is altogether sufficient, man is immaterial.
Amen to a careful and Scriptural statement of what actually constitutes righteousness -- is it ours and of this world or is it His and of the Spirit?
All things are made for and through and by Jesus Christ. But as blue-duncan said, Jesus Christ does not intercede for all men. Therefore all men are not acquitted of their sins by Christ, and not all men receive the gift of the Holy Spirit who furnishes God's elect with new eyes and new ears and a new heart with which to believe in Jesus Christ and be saved.
Marvel not that I said unto thee, Ye must be born again." -- John 3:6-7"That which is born of the flesh is flesh; and that which is born of the Spirit is spirit.
God's family, made up of Christ's sheep who will be born again by the Holy Spirit at a time of God's choosing, was named and numbered before the foundation of the world according to God's good pleasure and not through anyone's own righteousness.
What shall we say then? That the Gentiles, which followed not after righteousness, have attained to righteousness, even the righteousness which is of faith. But Israel, which followed after the law of righteousness, hath not attained to the law of righteousness. Wherefore? Because they sought it not by faith, but as it were by the works of the law. For they stumbled at that stumblingstone" -- Romans 9:11;30-32 "For the children being not yet born, neither having done any good or evil, that the purpose of God according to election might stand, not of works, but of him that calleth...
And faith is a gift from God given through the Holy Spirit to every member of God's family.
And when they shall say unto you, Seek unto them that have familiar spirits, and unto wizards that peep, and that mutter: should not a people seek unto their God? for the living to the dead? To the law and to the testimony: if they speak not according to this word, it is because there is no light in them." -- Isaiah 8:18-20. "Behold, I and the children whom the LORD hath given me are for signs and for wonders in Israel from the LORD of hosts, which dwelleth in mount Zion.
Do men determine whether or not there is light within them, or does God?
"And he said, The God of our fathers hath chosen thee, that thou shouldest know his will, and see that Just One, and shouldest hear the voice of his mouth." -- Acts 22:14
God's plan of salvation is perfect and He accomplishes everything He has planned.
"Wherefore I give you to understand, that no man speaking by the Spirit of God calleth Jesus accursed: and that no man can say that Jesus is the Lord, but by the Holy Ghost." -- 1 Corinthians 12:3
In him was life; and the life was the light of men. And the light shineth in darkness; and the darkness comprehended it not. – John 1:3-4
And this is the condemnation, that light is come into the world, and men loved darkness rather than light, because their deeds were evil. – John 3:19
Ye are all the children of light, and the children of the day: we are not of the night, nor of darkness. – I Th 5:5