By works? Not unless you think the Holy Spirit through Paul contradicted Himself. First of all, Romans 2:6-7 has nothing to do with salvation. It's concerning rewards for the believer not punishment for the unbeliever or believer. Then we have Paul proclaiming that man is not justified by works. Also we have Jesus words ""The work of God is this: to believe in the one he has sent." So we have one verse that Catholics like to parade out proclaiming salvation based on works countering multiple passages saying salvation is not based on works. So Catholics have to totally disregard multiple passages of scripture to justify their position.
>>what kind of faith saves? A living faith, or a dead one?<<
The obvious answer to that is a living faith. But there you have just answered the question by "faith alone". You just admitted that all those things are a result of faith. It's the faith that saves and all those things are the results of that faith.
"If that is what you mean by "Faith," then yes, it's by Faith. And all of these elements comprise this Faith in its fullest definition."
All these points comprise being "incorporated into Christ." If that's what you mean by Faith, then we're on the same page. Yay! Handshakes all around.
But a great many people, when they say "faith," actually just mean "intellectual assent," so we have to remember that James (who has the same authority in the Holy Spirit as Paul) says, "Faith without works is dead."
And we have to remember that Paul agrees with James; for Paul himself said, "if I have all faith, so as to remove mountains, but have not love, I am nothing." But I'm truly glad we're in agreement on that.