But final salvation is indeed based on "works":
God “will repay each person according to what they have done.†7 To those who by persistence in doing good seek glory, honor and immortality, he will give eternal life.
I suggest that there is a growing movement which recognizes that when Paul denies "salvation by works", he is actually saying something much more focused - that salvation is not limited to those who do the "works" of the Law of Moses, that is to say, Jews.
The arguments for this perspective are indeed compelling.
While the New Testament does indeed affirm that final salvation is based on "deeds", this does not necessarily mean that we are therefore in a position to "boast". I suggest that the New Testament also teaches that it is only through the activity of the Holy Spirit - given to the believer based on faith alone - that salvific good deeds can be performed.