Striving and Striving for a "slightly more ethical" life DOES NOT SAVE YOU.
All have sinned, and come short of the glory of God,
and all still need a savior.
Well, many who try to better themselves don't do it for the sake of salvation, but simply because they feel it's the humane thing to do - they understand there are certain virtues that are worth seeking, and takes time and effort to perfect. It's a misconception that everyone who tries to better themselves are doing it for the afterlife - many are doing it for the mental, health, and social benefits it yields NOW.
In the bible, the Pharisees followed all kinds of stringent laws to be moral...
and it didn't help them.
Christ said they were all still sinners, headed for hell, and needed to be saved.
Right, but you can't compare the Pharisees to atheists, as the Pharisees appealed to God for the rules they set - they used knowledge of the Scriptures as justification for their authority, and that's what made them hypocrites, because the benefit was for themselves and not to please God and help others they claimed.
If atheists better themselves, they look at societal structure, and decides what benefits and do that. And what benefits and the attitudes are different from culture to culture. There are basic, ethical principles understood across all cultures - but they are principles of how man relates to one another, and doesn't involve God directly.
We believe as we do, often because we are conditioned for it. If we hear the word, and converted, that is great. But many who believe in the Western world, do so because they are taught or familiar with it or the ideal Moral Figure held up culturally is what they will sought first for answers.
And that is why I asked, is witnessing here in the Western world, or being aggressive in apologetics, beneficial? Now, sharing your story - wonderful. We should all share our story, but we shouldn't force it, either. Jesus is, as they say, a Gentleman - He knocks and waits patiently. He doesn't pick the lock; He doesn't take a beam and break down the door. He doesn't use trickery of words or tries to convince. If we are Christlike, we offer our testimony, and if it's not received, we leave it be. At least, that's how I think witnessing should be done.
It's important to remember the context in which Jesus issued the Great Commission - the idea of the Resurrection of the Messiah, One who suffered and by that gained salvation for all, was foreign to the Jews, and they rejected it. Because to them, He can't be the Messiah if He hadn't the plan or power to overthrow enemies.
But you see, in the States, it is not a foreign idea, and Hollywood even capitalizes on it, and books are sold in the millions about it. This is a different context, than the one of St. Peter and St. Paul, which is why I think we should bear these in mind when reading their letters and the Gospels.