All of the apostles differ with you on that.
Just use any online concordance to search “righteousness” and you will see that throughout the NT writings it is associated with Torah observance.
Our righteousness is definitely filthy rags, but Torah is “His” righteousness.
Our righteousness is whatever we dream up that “should please God,” like sunday school, christmas, easter, lent, eucharist, candles, cakes, idols and icons. All man made, and detested by Yehova.
His righteousness is clearly defined in his word.
Jas 1:25
But whoso looketh into the perfect law of liberty, and continueth therein, he being not a forgetful hearer, but a doer of the work, this man shall be blessed in his deed.
Jas 2:12
So speak ye, and so do, as they that shall be judged by the law of liberty.
We are not, NOBODY ever was, saved by their own righteousness. That is why God took on human flesh and made propitiation for the sins of the world by His sinless shed blood. We receive the righteousness of Christ - we are found in him, not having a righteousness of our own that comes from the law, but that which is through faith in Christ--the righteousness that comes from God on the basis of faith. (Philippians 3:9) Does your Bible not say that?