So will not we go back from thee - That is, if thou wilt thus interpose; if thou wilt deliver the nation; if thou wilt help him whom thou hast placed over it, giving him wisdom and valor, we will hereafter be obedient to thy law; we will not apostatize from thee. It is a solemn promise or pledge of future obedience made by the psalmist as expressing the purpose of the people if God would be merciful and would withdraw his judgments; a pledge proper in itself, and often made by the Hebrew people only to be disregarded; a pledge proper for all who are in affliction, and often made in such circumstances, but, as in the case of the Hebrews, often made only to be forgotten.
Quicken us - literally, Give us life. See the notes at Ephesians 2:1. Restore life to us as a people; save us from ruin, and reanimate us with thy presence.
And we will call upon thy name - We will worship thee; we will be faithful in serving thee.