Righteousness by faith means to believe the biblical doctrine, as it is written, is the faith of Jesus. To be one with Him in Truth as He is with the Father. 

That righteousness is His and can be ours by grace. If the church doctrine isn't according to the Bible, it is because there is no light in it. 

Do not think that the law was abolished, no it was established, once and for all on the cross. The baptism is a confession of faith in Jesus, His justification. Internalizing His teachings sanctification, a lifelong process of daily prayer and seeking God and His Word in truth. Someone saved will do His will by the Holy Spirit  - but salvation is not obtained by works.

Here are the patience of the saints, they keep the commandments and the faith of Jesus. In God is no shadow of turning, the renewed covenant is like the old, only that God will write it in our hearts so we will live it, instead of merely trying to obey it - which without a renewing of our minds - is not possible for man