Depends what you mean by good works!
"Work out your salvation with fear and trembling!" Phil 2:12
Do you consider the following to be good works?
-- loving Jesus enough to obey His commandments (John 14)
-- practicing righteousness (1 John 2 and 1 John 3)
.
Philippians 2:12 is restated more clearly in 2 Peter 1:10...this is the real meaning of it; not that you work
for your salvation with fear and trembling, but that you work it
out...giving all diligence to make your calling and election sure.
We love Jesus enough to obey His commandments, and we practice righteousness...because He has already saved us...not in order to obtain salvation. He sheds abroad His love in our hearts through the Holy Ghost, Romans 5:5, and we receive the Holy Ghost (even salvation) through faith, Galatians 3:14. Therefore the obedience that stems from love is not possible apart from faith. And therefore faith is the catalyst for my obedience. And I am also saved by grace through faith, and that not of myself; it is the gift of God:
not of works, lest any man should boast. Ephesians 2:8-9.
I don't see how the unregenerate, those who have not received the new creation, have the desire to obey God.
There are those who seek and desire to obey the Lord because they are seeking to establish their own righteousness. And in doing so they are not submitting to the righteousness of the Lord. Romans 10:3 (see also the context in Romans 9:30-33, Romans 10:1-4).