Works are a response to salvation not the causative agent of it
Yes, absolutely.
Or as we say in my circles, the saved person endeavors to live their life pleasing to the Lord out of gratitude for their salvation (not to ‘earn’ it).
Off topic a little, but it seems to me that is the Holy Spirit is truly in the individual (a result of being saved), they will naturally desire to live for the Lord. I know there is disagreement on this, but Scripture says by their fruits ye shall know them.