Your interpretation of Scripture is revealingly false and anyone who can read can see that. For the record, here is the passage:
Titus 3:3-8
At one time we too were foolish, disobedient, deceived and enslaved by all kinds of passions and pleasures. We lived in malice and envy, being hated and hating one another. But when the kindness and love of God our Savior appeared, he saved us, not because of righteous things we had done, but because of his mercy. He saved us through the washing of rebirth and renewal by the Holy Spirit, whom he poured out on us generously through Jesus Christ our Savior, so that, having been justified by his grace, we might become heirs having the hope of eternal life. This is a trustworthy saying. And I want you to stress these things, so that those who have trusted in God may be careful to devote themselves to doing what is good. These things are excellent and profitable for everyone.
So, no, the verses certainly do not say that we are saved by "excelling in good works". Rather, those who ARE saved, justified by grace, should be careful to devote themselves to doing what is good because these teachings are true and are profitable for everyone who are members of the body of Christ.
As I have said before, go right ahead and rely upon your good works to save you - they won't, but you have been warned - and I will rest upon the grace of God. Because, you see, saying you accept the gift of grace but insisting that your works are what ensures your salvation is not really accepting the gift of grace. You are really casting aside grace.
It does not say we are saved by faith alone either. It says that we are saved by God's sovereing grace and not by works of justice. It then urges you to "excel in good works". Note, by the way, how instead of faith it speaks of another virtue, "hope". So much for your once-saved-always-saved-works-don't-matter fantasy.