I'm not really sure what you're saying. John 3:16 tells us what Jesus did for those who believe in Him.
My own view is that Jesus died for our sin as His gift to us, and anyone who believes upon Jesus for forgiveness of sin will have everlasting life. Good works that follow are out of gratitude for what we have received. Some people have more gratitude than others, probably based on how aware they are of what their sin is/was.
As for the law, Jesus said He didn't come to abolish (destroy) the law, but to fulfill it. I take this to mean that HE has accomplished in the Law what is required of us. Since we can't fulfill it ourselves, we "get a lift" from the One who already did.
Imagine if you will someone who is most ardent, zealous that the ten commandments must be obeyed to attain heaven. They are earnestly living under a law of righteousness concerning the pinnacle of the law. An earnest Pharisee for example. Someone who has neglected the love of God( luke11:42) and hinges their hope of heaven on a law of righteousness.
What emotions would overcome such a person if they had a sinful thought concerning one of those commandments? They would be overwrought wouldn't they? They would be animated, nervous, disturbed, worked up and panic stricken. These emotions would overcome anyone who was in earnest they must obey the law or be condemned to hell.
The more these emotions overcome you at the thought of sin( breaking Gods laws) the more sin will overwhelm you, the more sin will control your life. Why is that? Because those emotions bring you to an excited state. They are all bar panic stricken dictionary definitions of the word excite. The definition of panic stricken is frenzy and the definition of frenzy is wild excitement. Your fear of the penalty of sin( breaking Gods laws) brings you into a very aroused- or excited state where sin is concerned( rom7:5)
So everytime an ardent Pharisee has a sinful thought concerning breaking one of the ten commandments they most likely would be overcome by emotions that would bring them to an excited state where sin is concerned:
What shall we say then? Is the law sin? Nay, I had not known sin but by the law, for I had not known lust except the law had said. Thou shalt not covet.
But sin, taking occasion by the commandment wrought in me all manner of concupiscence, for without the law sin was dead.
For I was alive without the law once, but when the commandment came sin revived ( or sin consciousness sprang to life) and I died.
And the commandment which was ordained to life( if I obeyed it) instead brought death( for I could not keep it)
For sin, taking ocassion by the commandment deceived me, and by it slew me.
Wherefore the law is holy, and the commandment is holy, and just, and good.
Rom7:7-12
Hence:
The power of sin is the law( of righteousness) 1cor15:56
It is wonderful you know obedience is out of love and gratitude for a free salvation and not because a law of righteousness exists and is the bottom line.
It is tragic that so many who go to church, in truth live earnestly under a law of righteousness without realising they are doing it.
God bless